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Finding the Fourth Proportional to 285,612, 394,144.56 and 158,295.80

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Solution

The fourth proportional to 285,612, 394,144.56 and 158,295.80 is: 218,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,612 : 394,144.56 = 158,295.80 : x
  2. Step 2: Convert to fraction form
    285,612/394,144.56 = 158,295.80/x
  3. Step 3: Cross multiply
    285,612x = 394,144.56 × 158,295.80
  4. Step 4: Simplify right side
    285,612x = 62,391,426,470.13
  5. Step 5: Solve for x
    x = 62,391,426,470.13/285,612
  6. Step 6: Final answer
    x = 218,448.20

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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.