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Finding the Fourth Proportional to 120,143.78, 165,791.72 and 66,425.66

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Solution

The fourth proportional to 120,143.78, 165,791.72 and 66,425.66 is: 91,663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,143.78 : 165,791.72 = 66,425.66 : x
  2. Step 2: Convert to fraction form
    120,143.78/165,791.72 = 66,425.66/x
  3. Step 3: Cross multiply
    120,143.78x = 165,791.72 × 66,425.66
  4. Step 4: Simplify right side
    120,143.78x = 11,012,824,423.54
  5. Step 5: Solve for x
    x = 11,012,824,423.54/120,143.78
  6. Step 6: Final answer
    x = 91,663.71

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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.