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Finding the Fourth Proportional to 285,901.56, 394,591.38 and 158,618.16

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Solution

The fourth proportional to 285,901.56, 394,591.38 and 158,618.16 is: 218,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,901.56 : 394,591.38 = 158,618.16 : x
  2. Step 2: Convert to fraction form
    285,901.56/394,591.38 = 158,618.16/x
  3. Step 3: Cross multiply
    285,901.56x = 394,591.38 × 158,618.16
  4. Step 4: Simplify right side
    285,901.56x = 62,589,358,647.46
  5. Step 5: Solve for x
    x = 62,589,358,647.46/285,901.56
  6. Step 6: Final answer
    x = 218,919.26

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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.