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Finding the Fourth Proportional to 205,708.30, 284,148.48 and 157,879.42

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Solution

The fourth proportional to 205,708.30, 284,148.48 and 157,879.42 is: 218,081.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,708.30 : 284,148.48 = 157,879.42 : x
  2. Step 2: Convert to fraction form
    205,708.30/284,148.48 = 157,879.42/x
  3. Step 3: Cross multiply
    205,708.30x = 284,148.48 × 157,879.42
  4. Step 4: Simplify right side
    205,708.30x = 44,861,197,216.28
  5. Step 5: Solve for x
    x = 44,861,197,216.28/205,708.30
  6. Step 6: Final answer
    x = 218,081.61

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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.