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Finding the Fourth Proportional to 382,082.96, 573,089.29 and 129,334.56

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Solution

The fourth proportional to 382,082.96, 573,089.29 and 129,334.56 is: 193,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,082.96 : 573,089.29 = 129,334.56 : x
  2. Step 2: Convert to fraction form
    382,082.96/573,089.29 = 129,334.56/x
  3. Step 3: Cross multiply
    382,082.96x = 573,089.29 × 129,334.56
  4. Step 4: Simplify right side
    382,082.96x = 74,120,251,162.86
  5. Step 5: Solve for x
    x = 74,120,251,162.86/382,082.96
  6. Step 6: Final answer
    x = 193,989.94

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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.