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Finding the Fourth Proportional to 217,822.40, 326,474.40 and 91,462.40

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Solution

The fourth proportional to 217,822.40, 326,474.40 and 91,462.40 is: 137,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,822.40 : 326,474.40 = 91,462.40 : x
  2. Step 2: Convert to fraction form
    217,822.40/326,474.40 = 91,462.40/x
  3. Step 3: Cross multiply
    217,822.40x = 326,474.40 × 91,462.40
  4. Step 4: Simplify right side
    217,822.40x = 29,860,132,162.56
  5. Step 5: Solve for x
    x = 29,860,132,162.56/217,822.40
  6. Step 6: Final answer
    x = 137,084.76

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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.