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Finding the Fourth Proportional to 285,545.29, 394,046.62 and 158,219.77

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Solution

The fourth proportional to 285,545.29, 394,046.62 and 158,219.77 is: 218,340.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,545.29 : 394,046.62 = 158,219.77 : x
  2. Step 2: Convert to fraction form
    285,545.29/394,046.62 = 158,219.77/x
  3. Step 3: Cross multiply
    285,545.29x = 394,046.62 × 158,219.77
  4. Step 4: Simplify right side
    285,545.29x = 62,345,965,585.68
  5. Step 5: Solve for x
    x = 62,345,965,585.68/285,545.29
  6. Step 6: Final answer
    x = 218,340.02

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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.