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Finding the Fourth Proportional to 508,082.52, 762,049.57 and 148,156.65

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Solution

The fourth proportional to 508,082.52, 762,049.57 and 148,156.65 is: 222,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,082.52 : 762,049.57 = 148,156.65 : x
  2. Step 2: Convert to fraction form
    508,082.52/762,049.57 = 148,156.65/x
  3. Step 3: Cross multiply
    508,082.52x = 762,049.57 × 148,156.65
  4. Step 4: Simplify right side
    508,082.52x = 112,902,711,425.14
  5. Step 5: Solve for x
    x = 112,902,711,425.14/508,082.52
  6. Step 6: Final answer
    x = 222,213.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.