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Finding the Fourth Proportional to 132,058.50, 182,241.03 and 75,469.74

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Solution

The fourth proportional to 132,058.50, 182,241.03 and 75,469.74 is: 104,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,058.50 : 182,241.03 = 75,469.74 : x
  2. Step 2: Convert to fraction form
    132,058.50/182,241.03 = 75,469.74/x
  3. Step 3: Cross multiply
    132,058.50x = 182,241.03 × 75,469.74
  4. Step 4: Simplify right side
    132,058.50x = 13,753,683,151.43
  5. Step 5: Solve for x
    x = 13,753,683,151.43/132,058.50
  6. Step 6: Final answer
    x = 104,148.41

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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.