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Finding the Fourth Proportional to 237,978.24, 328,408.05 and 129,082.29

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Solution

The fourth proportional to 237,978.24, 328,408.05 and 129,082.29 is: 178,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,978.24 : 328,408.05 = 129,082.29 : x
  2. Step 2: Convert to fraction form
    237,978.24/328,408.05 = 129,082.29/x
  3. Step 3: Cross multiply
    237,978.24x = 328,408.05 × 129,082.29
  4. Step 4: Simplify right side
    237,978.24x = 42,391,664,864.02
  5. Step 5: Solve for x
    x = 42,391,664,864.02/237,978.24
  6. Step 6: Final answer
    x = 178,132.53

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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.