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Finding the Fourth Proportional to 116,140.96, 160,304.16 and 65,869.12

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Solution

The fourth proportional to 116,140.96, 160,304.16 and 65,869.12 is: 90,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,140.96 : 160,304.16 = 65,869.12 : x
  2. Step 2: Convert to fraction form
    116,140.96/160,304.16 = 65,869.12/x
  3. Step 3: Cross multiply
    116,140.96x = 160,304.16 × 65,869.12
  4. Step 4: Simplify right side
    116,140.96x = 10,559,093,951.54
  5. Step 5: Solve for x
    x = 10,559,093,951.54/116,140.96
  6. Step 6: Final answer
    x = 90,916.19

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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.