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Finding the Fourth Proportional to 113,098.38, 156,078.72 and 62,114.40

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Solution

The fourth proportional to 113,098.38, 156,078.72 and 62,114.40 is: 85,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,098.38 : 156,078.72 = 62,114.40 : x
  2. Step 2: Convert to fraction form
    113,098.38/156,078.72 = 62,114.40/x
  3. Step 3: Cross multiply
    113,098.38x = 156,078.72 × 62,114.40
  4. Step 4: Simplify right side
    113,098.38x = 9,694,736,045.57
  5. Step 5: Solve for x
    x = 9,694,736,045.57/113,098.38
  6. Step 6: Final answer
    x = 85,719.50

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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.