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Finding the Fourth Proportional to 231,615.52, 346,747.20 and 142,601.92

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Solution

The fourth proportional to 231,615.52, 346,747.20 and 142,601.92 is: 213,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,615.52 : 346,747.20 = 142,601.92 : x
  2. Step 2: Convert to fraction form
    231,615.52/346,747.20 = 142,601.92/x
  3. Step 3: Cross multiply
    231,615.52x = 346,747.20 × 142,601.92
  4. Step 4: Simplify right side
    231,615.52x = 49,446,816,474.62
  5. Step 5: Solve for x
    x = 49,446,816,474.62/231,615.52
  6. Step 6: Final answer
    x = 213,486.63

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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.