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Finding the Fourth Proportional to 116,082.92, 160,057.70 and 107,474.72

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Solution

The fourth proportional to 116,082.92, 160,057.70 and 107,474.72 is: 148,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,082.92 : 160,057.70 = 107,474.72 : x
  2. Step 2: Convert to fraction form
    116,082.92/160,057.70 = 107,474.72/x
  3. Step 3: Cross multiply
    116,082.92x = 160,057.70 × 107,474.72
  4. Step 4: Simplify right side
    116,082.92x = 17,202,155,153.68
  5. Step 5: Solve for x
    x = 17,202,155,153.68/116,082.92
  6. Step 6: Final answer
    x = 148,188.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.