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Finding the Fourth Proportional to 285,563.88, 394,068.24 and 158,251.32

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Solution

The fourth proportional to 285,563.88, 394,068.24 and 158,251.32 is: 218,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,563.88 : 394,068.24 = 158,251.32 : x
  2. Step 2: Convert to fraction form
    285,563.88/394,068.24 = 158,251.32/x
  3. Step 3: Cross multiply
    285,563.88x = 394,068.24 × 158,251.32
  4. Step 4: Simplify right side
    285,563.88x = 62,361,819,150.08
  5. Step 5: Solve for x
    x = 62,361,819,150.08/285,563.88
  6. Step 6: Final answer
    x = 218,381.33

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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.