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Finding the Fourth Proportional to 113,565.60, 156,724.10 and 65,176.38

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Solution

The fourth proportional to 113,565.60, 156,724.10 and 65,176.38 is: 89,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,565.60 : 156,724.10 = 65,176.38 : x
  2. Step 2: Convert to fraction form
    113,565.60/156,724.10 = 65,176.38/x
  3. Step 3: Cross multiply
    113,565.60x = 156,724.10 × 65,176.38
  4. Step 4: Simplify right side
    113,565.60x = 10,214,709,170.88
  5. Step 5: Solve for x
    x = 10,214,709,170.88/113,565.60
  6. Step 6: Final answer
    x = 89,945.45

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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.