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Finding the Fourth Proportional to 144,031.74, 215,629.22 and 83,876.82

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Solution

The fourth proportional to 144,031.74, 215,629.22 and 83,876.82 is: 125,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,031.74 : 215,629.22 = 83,876.82 : x
  2. Step 2: Convert to fraction form
    144,031.74/215,629.22 = 83,876.82/x
  3. Step 3: Cross multiply
    144,031.74x = 215,629.22 × 83,876.82
  4. Step 4: Simplify right side
    144,031.74x = 18,086,293,272.68
  5. Step 5: Solve for x
    x = 18,086,293,272.68/144,031.74
  6. Step 6: Final answer
    x = 125,571.58

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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.