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Finding the Fourth Proportional to 137,524.60, 206,286.90 and 58,646.80

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Solution

The fourth proportional to 137,524.60, 206,286.90 and 58,646.80 is: 87,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,524.60 : 206,286.90 = 58,646.80 : x
  2. Step 2: Convert to fraction form
    137,524.60/206,286.90 = 58,646.80/x
  3. Step 3: Cross multiply
    137,524.60x = 206,286.90 × 58,646.80
  4. Step 4: Simplify right side
    137,524.60x = 12,098,066,566.92
  5. Step 5: Solve for x
    x = 12,098,066,566.92/137,524.60
  6. Step 6: Final answer
    x = 87,970.20

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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.