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Finding the Fourth Proportional to 181,978,167.40, 272,967,251.10 and 113,103,413.80

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Solution

The fourth proportional to 181,978,167.40, 272,967,251.10 and 113,103,413.80 is: 169,655,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,978,167.40 : 272,967,251.10 = 113,103,413.80 : x
  2. Step 2: Convert to fraction form
    181,978,167.40/272,967,251.10 = 113,103,413.80/x
  3. Step 3: Cross multiply
    181,978,167.40x = 272,967,251.10 × 113,103,413.80
  4. Step 4: Simplify right side
    181,978,167.40x = 30,873,527,955,011,808
  5. Step 5: Solve for x
    x = 30,873,527,955,011,808/181,978,167.40
  6. Step 6: Final answer
    x = 169,655,120.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.