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Finding the Fourth Proportional to 217,767.84, 326,651.04 and 57,859.76

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Solution

The fourth proportional to 217,767.84, 326,651.04 and 57,859.76 is: 86,789.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,767.84 : 326,651.04 = 57,859.76 : x
  2. Step 2: Convert to fraction form
    217,767.84/326,651.04 = 57,859.76/x
  3. Step 3: Cross multiply
    217,767.84x = 326,651.04 × 57,859.76
  4. Step 4: Simplify right side
    217,767.84x = 18,899,951,594.78
  5. Step 5: Solve for x
    x = 18,899,951,594.78/217,767.84
  6. Step 6: Final answer
    x = 86,789.45

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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.