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Finding the Fourth Proportional to 176,565.78, 243,655.65 and 100,091.97

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Solution

The fourth proportional to 176,565.78, 243,655.65 and 100,091.97 is: 138,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,565.78 : 243,655.65 = 100,091.97 : x
  2. Step 2: Convert to fraction form
    176,565.78/243,655.65 = 100,091.97/x
  3. Step 3: Cross multiply
    176,565.78x = 243,655.65 × 100,091.97
  4. Step 4: Simplify right side
    176,565.78x = 24,387,974,010.13
  5. Step 5: Solve for x
    x = 24,387,974,010.13/176,565.78
  6. Step 6: Final answer
    x = 138,124.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.