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Finding the Fourth Proportional to 132,195.88, 182,424.88 and 71,764.20

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Solution

The fourth proportional to 132,195.88, 182,424.88 and 71,764.20 is: 99,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,195.88 : 182,424.88 = 71,764.20 : x
  2. Step 2: Convert to fraction form
    132,195.88/182,424.88 = 71,764.20/x
  3. Step 3: Cross multiply
    132,195.88x = 182,424.88 × 71,764.20
  4. Step 4: Simplify right side
    132,195.88x = 13,091,575,573.30
  5. Step 5: Solve for x
    x = 13,091,575,573.30/132,195.88
  6. Step 6: Final answer
    x = 99,031.65

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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.