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Finding the Fourth Proportional to 217,231.83, 325,680.93 and 82,293.93

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Solution

The fourth proportional to 217,231.83, 325,680.93 and 82,293.93 is: 123,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,231.83 : 325,680.93 = 82,293.93 : x
  2. Step 2: Convert to fraction form
    217,231.83/325,680.93 = 82,293.93/x
  3. Step 3: Cross multiply
    217,231.83x = 325,680.93 × 82,293.93
  4. Step 4: Simplify right side
    217,231.83x = 26,801,563,655.75
  5. Step 5: Solve for x
    x = 26,801,563,655.75/217,231.83
  6. Step 6: Final answer
    x = 123,377.70

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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.