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Finding the Fourth Proportional to 226,404.76, 339,587.61 and 76,641.82

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Solution

The fourth proportional to 226,404.76, 339,587.61 and 76,641.82 is: 114,956.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,404.76 : 339,587.61 = 76,641.82 : x
  2. Step 2: Convert to fraction form
    226,404.76/339,587.61 = 76,641.82/x
  3. Step 3: Cross multiply
    226,404.76x = 339,587.61 × 76,641.82
  4. Step 4: Simplify right side
    226,404.76x = 26,026,612,479.85
  5. Step 5: Solve for x
    x = 26,026,612,479.85/226,404.76
  6. Step 6: Final answer
    x = 114,956.12

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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.