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Finding the Fourth Proportional to 116,007.50, 160,082.70 and 68,251.58

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Solution

The fourth proportional to 116,007.50, 160,082.70 and 68,251.58 is: 94,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,007.50 : 160,082.70 = 68,251.58 : x
  2. Step 2: Convert to fraction form
    116,007.50/160,082.70 = 68,251.58/x
  3. Step 3: Cross multiply
    116,007.50x = 160,082.70 × 68,251.58
  4. Step 4: Simplify right side
    116,007.50x = 10,925,897,205.67
  5. Step 5: Solve for x
    x = 10,925,897,205.67/116,007.50
  6. Step 6: Final answer
    x = 94,182.68

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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.