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Finding the Fourth Proportional to 234,921.62, 324,031.26 and 150,000.38

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Solution

The fourth proportional to 234,921.62, 324,031.26 and 150,000.38 is: 206,897.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,921.62 : 324,031.26 = 150,000.38 : x
  2. Step 2: Convert to fraction form
    234,921.62/324,031.26 = 150,000.38/x
  3. Step 3: Cross multiply
    234,921.62x = 324,031.26 × 150,000.38
  4. Step 4: Simplify right side
    234,921.62x = 48,604,812,131.88
  5. Step 5: Solve for x
    x = 48,604,812,131.88/234,921.62
  6. Step 6: Final answer
    x = 206,897.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.