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Finding the Fourth Proportional to 217,726.50, 326,610.31 and 84,616.98

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Solution

The fourth proportional to 217,726.50, 326,610.31 and 84,616.98 is: 126,933.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,726.50 : 326,610.31 = 84,616.98 : x
  2. Step 2: Convert to fraction form
    217,726.50/326,610.31 = 84,616.98/x
  3. Step 3: Cross multiply
    217,726.50x = 326,610.31 × 84,616.98
  4. Step 4: Simplify right side
    217,726.50x = 27,636,778,069.06
  5. Step 5: Solve for x
    x = 27,636,778,069.06/217,726.50
  6. Step 6: Final answer
    x = 126,933.46

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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.