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Finding the Fourth Proportional to 285,547.29, 394,049.38 and 158,221.77

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Solution

The fourth proportional to 285,547.29, 394,049.38 and 158,221.77 is: 218,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,547.29 : 394,049.38 = 158,221.77 : x
  2. Step 2: Convert to fraction form
    285,547.29/394,049.38 = 158,221.77/x
  3. Step 3: Cross multiply
    285,547.29x = 394,049.38 × 158,221.77
  4. Step 4: Simplify right side
    285,547.29x = 62,347,190,371.00
  5. Step 5: Solve for x
    x = 62,347,190,371.00/285,547.29
  6. Step 6: Final answer
    x = 218,342.78

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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.