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Finding the Fourth Proportional to 217,201.56, 325,722.42 and 75,010.66

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Solution

The fourth proportional to 217,201.56, 325,722.42 and 75,010.66 is: 112,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,201.56 : 325,722.42 = 75,010.66 : x
  2. Step 2: Convert to fraction form
    217,201.56/325,722.42 = 75,010.66/x
  3. Step 3: Cross multiply
    217,201.56x = 325,722.42 × 75,010.66
  4. Step 4: Simplify right side
    217,201.56x = 24,432,653,701.00
  5. Step 5: Solve for x
    x = 24,432,653,701.00/217,201.56
  6. Step 6: Final answer
    x = 112,488.39

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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.