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Finding the Fourth Proportional to 165,041.61, 227,761.05 and 100,513.89

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Solution

The fourth proportional to 165,041.61, 227,761.05 and 100,513.89 is: 138,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,041.61 : 227,761.05 = 100,513.89 : x
  2. Step 2: Convert to fraction form
    165,041.61/227,761.05 = 100,513.89/x
  3. Step 3: Cross multiply
    165,041.61x = 227,761.05 × 100,513.89
  4. Step 4: Simplify right side
    165,041.61x = 22,893,149,125.98
  5. Step 5: Solve for x
    x = 22,893,149,125.98/165,041.61
  6. Step 6: Final answer
    x = 138,711.38

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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.