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Finding the Fourth Proportional to 147,116.75, 220,760.25 and 61,719.96

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Solution

The fourth proportional to 147,116.75, 220,760.25 and 61,719.96 is: 92,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,116.75 : 220,760.25 = 61,719.96 : x
  2. Step 2: Convert to fraction form
    147,116.75/220,760.25 = 61,719.96/x
  3. Step 3: Cross multiply
    147,116.75x = 220,760.25 × 61,719.96
  4. Step 4: Simplify right side
    147,116.75x = 13,625,313,799.59
  5. Step 5: Solve for x
    x = 13,625,313,799.59/147,116.75
  6. Step 6: Final answer
    x = 92,615.65

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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.