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Finding the Fourth Proportional to 113,797.10, 156,951.23 and 72,965.13

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Solution

The fourth proportional to 113,797.10, 156,951.23 and 72,965.13 is: 100,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,797.10 : 156,951.23 = 72,965.13 : x
  2. Step 2: Convert to fraction form
    113,797.10/156,951.23 = 72,965.13/x
  3. Step 3: Cross multiply
    113,797.10x = 156,951.23 × 72,965.13
  4. Step 4: Simplify right side
    113,797.10x = 11,451,966,535.78
  5. Step 5: Solve for x
    x = 11,451,966,535.78/113,797.10
  6. Step 6: Final answer
    x = 100,634.96

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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.