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Finding the Fourth Proportional to 132,571.92, 182,908 and 75,201.76

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Solution

The fourth proportional to 132,571.92, 182,908 and 75,201.76 is: 103,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,571.92 : 182,908 = 75,201.76 : x
  2. Step 2: Convert to fraction form
    132,571.92/182,908 = 75,201.76/x
  3. Step 3: Cross multiply
    132,571.92x = 182,908 × 75,201.76
  4. Step 4: Simplify right side
    132,571.92x = 13,755,003,518.08
  5. Step 5: Solve for x
    x = 13,755,003,518.08/132,571.92
  6. Step 6: Final answer
    x = 103,755.03

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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.