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Finding the Fourth Proportional to 225,614.61, 338,194.17 and 141,433.90

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Solution

The fourth proportional to 225,614.61, 338,194.17 and 141,433.90 is: 212,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,614.61 : 338,194.17 = 141,433.90 : x
  2. Step 2: Convert to fraction form
    225,614.61/338,194.17 = 141,433.90/x
  3. Step 3: Cross multiply
    225,614.61x = 338,194.17 × 141,433.90
  4. Step 4: Simplify right side
    225,614.61x = 47,832,119,574.88
  5. Step 5: Solve for x
    x = 47,832,119,574.88/225,614.61
  6. Step 6: Final answer
    x = 212,008.08

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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.