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Finding the Fourth Proportional to 132,537.80, 182,872.14 and 96,747.32

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Solution

The fourth proportional to 132,537.80, 182,872.14 and 96,747.32 is: 133,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,537.80 : 182,872.14 = 96,747.32 : x
  2. Step 2: Convert to fraction form
    132,537.80/182,872.14 = 96,747.32/x
  3. Step 3: Cross multiply
    132,537.80x = 182,872.14 × 96,747.32
  4. Step 4: Simplify right side
    132,537.80x = 17,692,389,447.66
  5. Step 5: Solve for x
    x = 17,692,389,447.66/132,537.80
  6. Step 6: Final answer
    x = 133,489.39

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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.