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Finding the Fourth Proportional to 217,456.61, 326,106.74 and 75,263.31

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Solution

The fourth proportional to 217,456.61, 326,106.74 and 75,263.31 is: 112,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,456.61 : 326,106.74 = 75,263.31 : x
  2. Step 2: Convert to fraction form
    217,456.61/326,106.74 = 75,263.31/x
  3. Step 3: Cross multiply
    217,456.61x = 326,106.74 × 75,263.31
  4. Step 4: Simplify right side
    217,456.61x = 24,543,872,853.87
  5. Step 5: Solve for x
    x = 24,543,872,853.87/217,456.61
  6. Step 6: Final answer
    x = 112,867.91

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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.