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Finding the Fourth Proportional to 217,565.40, 326,250.90 and 84,401.40

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Solution

The fourth proportional to 217,565.40, 326,250.90 and 84,401.40 is: 126,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,565.40 : 326,250.90 = 84,401.40 : x
  2. Step 2: Convert to fraction form
    217,565.40/326,250.90 = 84,401.40/x
  3. Step 3: Cross multiply
    217,565.40x = 326,250.90 × 84,401.40
  4. Step 4: Simplify right side
    217,565.40x = 27,536,032,711.26
  5. Step 5: Solve for x
    x = 27,536,032,711.26/217,565.40
  6. Step 6: Final answer
    x = 126,564.39

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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.