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Finding the Fourth Proportional to 230,693.92, 318,514.98 and 149,219.62

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Solution

The fourth proportional to 230,693.92, 318,514.98 and 149,219.62 is: 206,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,693.92 : 318,514.98 = 149,219.62 : x
  2. Step 2: Convert to fraction form
    230,693.92/318,514.98 = 149,219.62/x
  3. Step 3: Cross multiply
    230,693.92x = 318,514.98 × 149,219.62
  4. Step 4: Simplify right side
    230,693.92x = 47,528,684,279.91
  5. Step 5: Solve for x
    x = 47,528,684,279.91/230,693.92
  6. Step 6: Final answer
    x = 206,024.87

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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.