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Finding the Fourth Proportional to 285,612.38, 394,145.08 and 158,296.17

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Solution

The fourth proportional to 285,612.38, 394,145.08 and 158,296.17 is: 218,448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,612.38 : 394,145.08 = 158,296.17 : x
  2. Step 2: Convert to fraction form
    285,612.38/394,145.08 = 158,296.17/x
  3. Step 3: Cross multiply
    285,612.38x = 394,145.08 × 158,296.17
  4. Step 4: Simplify right side
    285,612.38x = 62,391,656,192.60
  5. Step 5: Solve for x
    x = 62,391,656,192.60/285,612.38
  6. Step 6: Final answer
    x = 218,448.71

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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.