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Finding the Fourth Proportional to 225,102.74, 337,654.10 and 84,828.56

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Solution

The fourth proportional to 225,102.74, 337,654.10 and 84,828.56 is: 127,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,102.74 : 337,654.10 = 84,828.56 : x
  2. Step 2: Convert to fraction form
    225,102.74/337,654.10 = 84,828.56/x
  3. Step 3: Cross multiply
    225,102.74x = 337,654.10 × 84,828.56
  4. Step 4: Simplify right side
    225,102.74x = 28,642,709,604.90
  5. Step 5: Solve for x
    x = 28,642,709,604.90/225,102.74
  6. Step 6: Final answer
    x = 127,242.83

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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.