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Finding the Fourth Proportional to 137,612.60, 206,418.90 and 82,316.60

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Solution

The fourth proportional to 137,612.60, 206,418.90 and 82,316.60 is: 123,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,612.60 : 206,418.90 = 82,316.60 : x
  2. Step 2: Convert to fraction form
    137,612.60/206,418.90 = 82,316.60/x
  3. Step 3: Cross multiply
    137,612.60x = 206,418.90 × 82,316.60
  4. Step 4: Simplify right side
    137,612.60x = 16,991,702,023.74
  5. Step 5: Solve for x
    x = 16,991,702,023.74/137,612.60
  6. Step 6: Final answer
    x = 123,474.90

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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.