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Finding the Fourth Proportional to 285,676.12, 394,191.66 and 158,351.68

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Solution

The fourth proportional to 285,676.12, 394,191.66 and 158,351.68 is: 218,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,676.12 : 394,191.66 = 158,351.68 : x
  2. Step 2: Convert to fraction form
    285,676.12/394,191.66 = 158,351.68/x
  3. Step 3: Cross multiply
    285,676.12x = 394,191.66 × 158,351.68
  4. Step 4: Simplify right side
    285,676.12x = 62,420,911,602.99
  5. Step 5: Solve for x
    x = 62,420,911,602.99/285,676.12
  6. Step 6: Final answer
    x = 218,502.38

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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.