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Finding the Fourth Proportional to 225,902.52, 338,856.21 and 68,132.34

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Solution

The fourth proportional to 225,902.52, 338,856.21 and 68,132.34 is: 102,199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,902.52 : 338,856.21 = 68,132.34 : x
  2. Step 2: Convert to fraction form
    225,902.52/338,856.21 = 68,132.34/x
  3. Step 3: Cross multiply
    225,902.52x = 338,856.21 × 68,132.34
  4. Step 4: Simplify right side
    225,902.52x = 23,087,066,510.83
  5. Step 5: Solve for x
    x = 23,087,066,510.83/225,902.52
  6. Step 6: Final answer
    x = 102,199.24

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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.