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Finding the Fourth Proportional to 217,682.83, 326,398.54 and 84,407.39

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Solution

The fourth proportional to 217,682.83, 326,398.54 and 84,407.39 is: 126,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,682.83 : 326,398.54 = 84,407.39 : x
  2. Step 2: Convert to fraction form
    217,682.83/326,398.54 = 84,407.39/x
  3. Step 3: Cross multiply
    217,682.83x = 326,398.54 × 84,407.39
  4. Step 4: Simplify right side
    217,682.83x = 27,550,449,664.20
  5. Step 5: Solve for x
    x = 27,550,449,664.20/217,682.83
  6. Step 6: Final answer
    x = 126,562.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.