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Finding the Fourth Proportional to 132,180.66, 182,404.38 and 71,750.02

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Solution

The fourth proportional to 132,180.66, 182,404.38 and 71,750.02 is: 99,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,180.66 : 182,404.38 = 71,750.02 : x
  2. Step 2: Convert to fraction form
    132,180.66/182,404.38 = 71,750.02/x
  3. Step 3: Cross multiply
    132,180.66x = 182,404.38 × 71,750.02
  4. Step 4: Simplify right side
    132,180.66x = 13,087,517,913.09
  5. Step 5: Solve for x
    x = 13,087,517,913.09/132,180.66
  6. Step 6: Final answer
    x = 99,012.35

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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.