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Finding the Fourth Proportional to 337,722.34, 506,082.20 and 187,756.34

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Solution

The fourth proportional to 337,722.34, 506,082.20 and 187,756.34 is: 281,355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,722.34 : 506,082.20 = 187,756.34 : x
  2. Step 2: Convert to fraction form
    337,722.34/506,082.20 = 187,756.34/x
  3. Step 3: Cross multiply
    337,722.34x = 506,082.20 × 187,756.34
  4. Step 4: Simplify right side
    337,722.34x = 95,020,141,611.15
  5. Step 5: Solve for x
    x = 95,020,141,611.15/337,722.34
  6. Step 6: Final answer
    x = 281,355.81

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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.