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Finding the Fourth Proportional to 264,816.20, 365,438.68 and 150,105.42

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Solution

The fourth proportional to 264,816.20, 365,438.68 and 150,105.42 is: 207,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,816.20 : 365,438.68 = 150,105.42 : x
  2. Step 2: Convert to fraction form
    264,816.20/365,438.68 = 150,105.42/x
  3. Step 3: Cross multiply
    264,816.20x = 365,438.68 × 150,105.42
  4. Step 4: Simplify right side
    264,816.20x = 54,854,326,170.38
  5. Step 5: Solve for x
    x = 54,854,326,170.38/264,816.20
  6. Step 6: Final answer
    x = 207,141.13

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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.