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Finding the Fourth Proportional to 206,176.53, 284,524.62 and 134,514.21

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Solution

The fourth proportional to 206,176.53, 284,524.62 and 134,514.21 is: 185,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,176.53 : 284,524.62 = 134,514.21 : x
  2. Step 2: Convert to fraction form
    206,176.53/284,524.62 = 134,514.21/x
  3. Step 3: Cross multiply
    206,176.53x = 284,524.62 × 134,514.21
  4. Step 4: Simplify right side
    206,176.53x = 38,272,604,484.85
  5. Step 5: Solve for x
    x = 38,272,604,484.85/206,176.53
  6. Step 6: Final answer
    x = 185,630.27

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