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Finding the Fourth Proportional to 225,903.16, 338,402.90 and 135,896.28

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Solution

The fourth proportional to 225,903.16, 338,402.90 and 135,896.28 is: 203,572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,903.16 : 338,402.90 = 135,896.28 : x
  2. Step 2: Convert to fraction form
    225,903.16/338,402.90 = 135,896.28/x
  3. Step 3: Cross multiply
    225,903.16x = 338,402.90 × 135,896.28
  4. Step 4: Simplify right side
    225,903.16x = 45,987,695,251.21
  5. Step 5: Solve for x
    x = 45,987,695,251.21/225,903.16
  6. Step 6: Final answer
    x = 203,572.61

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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.