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Finding the Fourth Proportional to 116,101.68, 160,233.76 and 65,128.40

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Solution

The fourth proportional to 116,101.68, 160,233.76 and 65,128.40 is: 89,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,101.68 : 160,233.76 = 65,128.40 : x
  2. Step 2: Convert to fraction form
    116,101.68/160,233.76 = 65,128.40/x
  3. Step 3: Cross multiply
    116,101.68x = 160,233.76 × 65,128.40
  4. Step 4: Simplify right side
    116,101.68x = 10,435,768,414.78
  5. Step 5: Solve for x
    x = 10,435,768,414.78/116,101.68
  6. Step 6: Final answer
    x = 89,884.73

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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.