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Finding the Fourth Proportional to 132,140.22, 182,354.84 and 71,711.38

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Solution

The fourth proportional to 132,140.22, 182,354.84 and 71,711.38 is: 98,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,140.22 : 182,354.84 = 71,711.38 : x
  2. Step 2: Convert to fraction form
    132,140.22/182,354.84 = 71,711.38/x
  3. Step 3: Cross multiply
    132,140.22x = 182,354.84 × 71,711.38
  4. Step 4: Simplify right side
    132,140.22x = 13,076,917,364.38
  5. Step 5: Solve for x
    x = 13,076,917,364.38/132,140.22
  6. Step 6: Final answer
    x = 98,962.43

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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.