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Finding the Fourth Proportional to 231,294.62, 346,686.87 and 151,299.38

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Solution

The fourth proportional to 231,294.62, 346,686.87 and 151,299.38 is: 226,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,294.62 : 346,686.87 = 151,299.38 : x
  2. Step 2: Convert to fraction form
    231,294.62/346,686.87 = 151,299.38/x
  3. Step 3: Cross multiply
    231,294.62x = 346,686.87 × 151,299.38
  4. Step 4: Simplify right side
    231,294.62x = 52,453,508,485.14
  5. Step 5: Solve for x
    x = 52,453,508,485.14/231,294.62
  6. Step 6: Final answer
    x = 226,782.22

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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.