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Finding the Fourth Proportional to 113,155.38, 156,064.32 and 72,872.46

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Solution

The fourth proportional to 113,155.38, 156,064.32 and 72,872.46 is: 100,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,155.38 : 156,064.32 = 72,872.46 : x
  2. Step 2: Convert to fraction form
    113,155.38/156,064.32 = 72,872.46/x
  3. Step 3: Cross multiply
    113,155.38x = 156,064.32 × 72,872.46
  4. Step 4: Simplify right side
    113,155.38x = 11,372,790,916.63
  5. Step 5: Solve for x
    x = 11,372,790,916.63/113,155.38
  6. Step 6: Final answer
    x = 100,505.97

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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.