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Finding the Fourth Proportional to 137,616.60, 206,424.90 and 100,000.20

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Solution

The fourth proportional to 137,616.60, 206,424.90 and 100,000.20 is: 150,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,616.60 : 206,424.90 = 100,000.20 : x
  2. Step 2: Convert to fraction form
    137,616.60/206,424.90 = 100,000.20/x
  3. Step 3: Cross multiply
    137,616.60x = 206,424.90 × 100,000.20
  4. Step 4: Simplify right side
    137,616.60x = 20,642,531,284.98
  5. Step 5: Solve for x
    x = 20,642,531,284.98/137,616.60
  6. Step 6: Final answer
    x = 150,000.30

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1.5x scale

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.