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Finding the Fourth Proportional to 137,414.84, 206,200.26 and 58,520.84

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Solution

The fourth proportional to 137,414.84, 206,200.26 and 58,520.84 is: 87,814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,414.84 : 206,200.26 = 58,520.84 : x
  2. Step 2: Convert to fraction form
    137,414.84/206,200.26 = 58,520.84/x
  3. Step 3: Cross multiply
    137,414.84x = 206,200.26 × 58,520.84
  4. Step 4: Simplify right side
    137,414.84x = 12,067,012,423.42
  5. Step 5: Solve for x
    x = 12,067,012,423.42/137,414.84
  6. Step 6: Final answer
    x = 87,814.48

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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.