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Finding the Fourth Proportional to 113,542.86, 156,689.19 and 65,823.87

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Solution

The fourth proportional to 113,542.86, 156,689.19 and 65,823.87 is: 90,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,542.86 : 156,689.19 = 65,823.87 : x
  2. Step 2: Convert to fraction form
    113,542.86/156,689.19 = 65,823.87/x
  3. Step 3: Cross multiply
    113,542.86x = 156,689.19 × 65,823.87
  4. Step 4: Simplify right side
    113,542.86x = 10,313,888,872.97
  5. Step 5: Solve for x
    x = 10,313,888,872.97/113,542.86
  6. Step 6: Final answer
    x = 90,836.97

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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.