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Finding the Fourth Proportional to 275,299.02, 412,909.65 and 88,286.22

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Solution

The fourth proportional to 275,299.02, 412,909.65 and 88,286.22 is: 132,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,299.02 : 412,909.65 = 88,286.22 : x
  2. Step 2: Convert to fraction form
    275,299.02/412,909.65 = 88,286.22/x
  3. Step 3: Cross multiply
    275,299.02x = 412,909.65 × 88,286.22
  4. Step 4: Simplify right side
    275,299.02x = 36,454,232,200.02
  5. Step 5: Solve for x
    x = 36,454,232,200.02/275,299.02
  6. Step 6: Final answer
    x = 132,416.86

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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.