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Finding the Fourth Proportional to 132,060, 182,243.10 and 75,471.24

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Solution

The fourth proportional to 132,060, 182,243.10 and 75,471.24 is: 104,150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,060 : 182,243.10 = 75,471.24 : x
  2. Step 2: Convert to fraction form
    132,060/182,243.10 = 75,471.24/x
  3. Step 3: Cross multiply
    132,060x = 182,243.10 × 75,471.24
  4. Step 4: Simplify right side
    132,060x = 13,754,112,738.44
  5. Step 5: Solve for x
    x = 13,754,112,738.44/132,060
  6. Step 6: Final answer
    x = 104,150.48

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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.