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Finding the Fourth Proportional to 206,874.88, 285,595.92 and 139,247.68

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Solution

The fourth proportional to 206,874.88, 285,595.92 and 139,247.68 is: 192,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,874.88 : 285,595.92 = 139,247.68 : x
  2. Step 2: Convert to fraction form
    206,874.88/285,595.92 = 139,247.68/x
  3. Step 3: Cross multiply
    206,874.88x = 285,595.92 × 139,247.68
  4. Step 4: Simplify right side
    206,874.88x = 39,768,569,277.47
  5. Step 5: Solve for x
    x = 39,768,569,277.47/206,874.88
  6. Step 6: Final answer
    x = 192,234.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.