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Finding the Fourth Proportional to 150,645.74, 225,959.31 and 61,896.96

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Solution

The fourth proportional to 150,645.74, 225,959.31 and 61,896.96 is: 92,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,645.74 : 225,959.31 = 61,896.96 : x
  2. Step 2: Convert to fraction form
    150,645.74/225,959.31 = 61,896.96/x
  3. Step 3: Cross multiply
    150,645.74x = 225,959.31 × 61,896.96
  4. Step 4: Simplify right side
    150,645.74x = 13,986,194,372.70
  5. Step 5: Solve for x
    x = 13,986,194,372.70/150,645.74
  6. Step 6: Final answer
    x = 92,841.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.