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Finding the Fourth Proportional to 116,129.20, 160,253.76 and 65,827.12

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Solution

The fourth proportional to 116,129.20, 160,253.76 and 65,827.12 is: 90,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,129.20 : 160,253.76 = 65,827.12 : x
  2. Step 2: Convert to fraction form
    116,129.20/160,253.76 = 65,827.12/x
  3. Step 3: Cross multiply
    116,129.20x = 160,253.76 × 65,827.12
  4. Step 4: Simplify right side
    116,129.20x = 10,549,043,489.97
  5. Step 5: Solve for x
    x = 10,549,043,489.97/116,129.20
  6. Step 6: Final answer
    x = 90,838.85

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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.