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Finding the Fourth Proportional to 116,229.76, 160,337.76 and 75,967

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Solution

The fourth proportional to 116,229.76, 160,337.76 and 75,967 is: 104,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,229.76 : 160,337.76 = 75,967 : x
  2. Step 2: Convert to fraction form
    116,229.76/160,337.76 = 75,967/x
  3. Step 3: Cross multiply
    116,229.76x = 160,337.76 × 75,967
  4. Step 4: Simplify right side
    116,229.76x = 12,180,378,613.92
  5. Step 5: Solve for x
    x = 12,180,378,613.92/116,229.76
  6. Step 6: Final answer
    x = 104,795.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.