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Finding the Fourth Proportional to 285,698.89, 394,237.96 and 158,363.65

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Solution

The fourth proportional to 285,698.89, 394,237.96 and 158,363.65 is: 218,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,698.89 : 394,237.96 = 158,363.65 : x
  2. Step 2: Convert to fraction form
    285,698.89/394,237.96 = 158,363.65/x
  3. Step 3: Cross multiply
    285,698.89x = 394,237.96 × 158,363.65
  4. Step 4: Simplify right side
    285,698.89x = 62,432,962,314.15
  5. Step 5: Solve for x
    x = 62,432,962,314.15/285,698.89
  6. Step 6: Final answer
    x = 218,527.14

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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.