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Finding the Fourth Proportional to 132,296.85, 182,570.94 and 71,867.97

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Solution

The fourth proportional to 132,296.85, 182,570.94 and 71,867.97 is: 99,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,296.85 : 182,570.94 = 71,867.97 : x
  2. Step 2: Convert to fraction form
    132,296.85/182,570.94 = 71,867.97/x
  3. Step 3: Cross multiply
    132,296.85x = 182,570.94 × 71,867.97
  4. Step 4: Simplify right side
    132,296.85x = 13,121,002,838.79
  5. Step 5: Solve for x
    x = 13,121,002,838.79/132,296.85
  6. Step 6: Final answer
    x = 99,178.50

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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.