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Finding the Fourth Proportional to 137,252.20, 205,532.70 and 90,250.60

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Solution

The fourth proportional to 137,252.20, 205,532.70 and 90,250.60 is: 135,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,252.20 : 205,532.70 = 90,250.60 : x
  2. Step 2: Convert to fraction form
    137,252.20/205,532.70 = 90,250.60/x
  3. Step 3: Cross multiply
    137,252.20x = 205,532.70 × 90,250.60
  4. Step 4: Simplify right side
    137,252.20x = 18,549,449,494.62
  5. Step 5: Solve for x
    x = 18,549,449,494.62/137,252.20
  6. Step 6: Final answer
    x = 135,148.65

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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.