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Finding the Fourth Proportional to 240,029.28, 360,098.88 and 82,257.60

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Solution

The fourth proportional to 240,029.28, 360,098.88 and 82,257.60 is: 123,405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,029.28 : 360,098.88 = 82,257.60 : x
  2. Step 2: Convert to fraction form
    240,029.28/360,098.88 = 82,257.60/x
  3. Step 3: Cross multiply
    240,029.28x = 360,098.88 × 82,257.60
  4. Step 4: Simplify right side
    240,029.28x = 29,620,869,631.49
  5. Step 5: Solve for x
    x = 29,620,869,631.49/240,029.28
  6. Step 6: Final answer
    x = 123,405.23

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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.