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Finding the Fourth Proportional to 116,442, 160,689.96 and 66,150.72

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Solution

The fourth proportional to 116,442, 160,689.96 and 66,150.72 is: 91,287.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,442 : 160,689.96 = 66,150.72 : x
  2. Step 2: Convert to fraction form
    116,442/160,689.96 = 66,150.72/x
  3. Step 3: Cross multiply
    116,442x = 160,689.96 × 66,150.72
  4. Step 4: Simplify right side
    116,442x = 10,629,756,550.77
  5. Step 5: Solve for x
    x = 10,629,756,550.77/116,442
  6. Step 6: Final answer
    x = 91,287.99

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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.