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Finding the Fourth Proportional to 217,125.80, 325,721.10 and 76,873.40

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Solution

The fourth proportional to 217,125.80, 325,721.10 and 76,873.40 is: 115,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,125.80 : 325,721.10 = 76,873.40 : x
  2. Step 2: Convert to fraction form
    217,125.80/325,721.10 = 76,873.40/x
  3. Step 3: Cross multiply
    217,125.80x = 325,721.10 × 76,873.40
  4. Step 4: Simplify right side
    217,125.80x = 25,039,288,408.74
  5. Step 5: Solve for x
    x = 25,039,288,408.74/217,125.80
  6. Step 6: Final answer
    x = 115,321.57

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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.