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Finding the Fourth Proportional to 150,098.80, 225,115.80 and 65,858.80

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Solution

The fourth proportional to 150,098.80, 225,115.80 and 65,858.80 is: 98,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,098.80 : 225,115.80 = 65,858.80 : x
  2. Step 2: Convert to fraction form
    150,098.80/225,115.80 = 65,858.80/x
  3. Step 3: Cross multiply
    150,098.80x = 225,115.80 × 65,858.80
  4. Step 4: Simplify right side
    150,098.80x = 14,825,856,449.04
  5. Step 5: Solve for x
    x = 14,825,856,449.04/150,098.80
  6. Step 6: Final answer
    x = 98,773.98

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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.