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Finding the Fourth Proportional to 225,176.56, 337,799.40 and 77,398

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Solution

The fourth proportional to 225,176.56, 337,799.40 and 77,398 is: 116,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,176.56 : 337,799.40 = 77,398 : x
  2. Step 2: Convert to fraction form
    225,176.56/337,799.40 = 77,398/x
  3. Step 3: Cross multiply
    225,176.56x = 337,799.40 × 77,398
  4. Step 4: Simplify right side
    225,176.56x = 26,144,997,961.20
  5. Step 5: Solve for x
    x = 26,144,997,961.20/225,176.56
  6. Step 6: Final answer
    x = 116,108.88

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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.