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Finding the Fourth Proportional to 231,239.88, 346,854.42 and 106,580.88

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Solution

The fourth proportional to 231,239.88, 346,854.42 and 106,580.88 is: 159,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,239.88 : 346,854.42 = 106,580.88 : x
  2. Step 2: Convert to fraction form
    231,239.88/346,854.42 = 106,580.88/x
  3. Step 3: Cross multiply
    231,239.88x = 346,854.42 × 106,580.88
  4. Step 4: Simplify right side
    231,239.88x = 36,968,049,315.49
  5. Step 5: Solve for x
    x = 36,968,049,315.49/231,239.88
  6. Step 6: Final answer
    x = 159,868.83

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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.