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Finding the Fourth Proportional to 217,044.46, 325,499.73 and 76,770.82

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Solution

The fourth proportional to 217,044.46, 325,499.73 and 76,770.82 is: 115,132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,044.46 : 325,499.73 = 76,770.82 : x
  2. Step 2: Convert to fraction form
    217,044.46/325,499.73 = 76,770.82/x
  3. Step 3: Cross multiply
    217,044.46x = 325,499.73 × 76,770.82
  4. Step 4: Simplify right side
    217,044.46x = 24,988,881,181.88
  5. Step 5: Solve for x
    x = 24,988,881,181.88/217,044.46
  6. Step 6: Final answer
    x = 115,132.55

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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.