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Finding the Fourth Proportional to 181,203.40, 271,934.70 and 76,097.80

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Solution

The fourth proportional to 181,203.40, 271,934.70 and 76,097.80 is: 114,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,203.40 : 271,934.70 = 76,097.80 : x
  2. Step 2: Convert to fraction form
    181,203.40/271,934.70 = 76,097.80/x
  3. Step 3: Cross multiply
    181,203.40x = 271,934.70 × 76,097.80
  4. Step 4: Simplify right side
    181,203.40x = 20,693,632,413.66
  5. Step 5: Solve for x
    x = 20,693,632,413.66/181,203.40
  6. Step 6: Final answer
    x = 114,201.13

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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.