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Finding the Fourth Proportional to 116,184.72, 160,329.24 and 65,874

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Solution

The fourth proportional to 116,184.72, 160,329.24 and 65,874 is: 90,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,184.72 : 160,329.24 = 65,874 : x
  2. Step 2: Convert to fraction form
    116,184.72/160,329.24 = 65,874/x
  3. Step 3: Cross multiply
    116,184.72x = 160,329.24 × 65,874
  4. Step 4: Simplify right side
    116,184.72x = 10,561,528,355.76
  5. Step 5: Solve for x
    x = 10,561,528,355.76/116,184.72
  6. Step 6: Final answer
    x = 90,902.90

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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.