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Finding the Fourth Proportional to 181,033.80, 271,502.10 and 75,863.40

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Solution

The fourth proportional to 181,033.80, 271,502.10 and 75,863.40 is: 113,774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,033.80 : 271,502.10 = 75,863.40 : x
  2. Step 2: Convert to fraction form
    181,033.80/271,502.10 = 75,863.40/x
  3. Step 3: Cross multiply
    181,033.80x = 271,502.10 × 75,863.40
  4. Step 4: Simplify right side
    181,033.80x = 20,597,072,413.14
  5. Step 5: Solve for x
    x = 20,597,072,413.14/181,033.80
  6. Step 6: Final answer
    x = 113,774.73

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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.