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Finding the Fourth Proportional to 279,959.16, 420,113.70 and 113,747.16

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Solution

The fourth proportional to 279,959.16, 420,113.70 and 113,747.16 is: 170,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,959.16 : 420,113.70 = 113,747.16 : x
  2. Step 2: Convert to fraction form
    279,959.16/420,113.70 = 113,747.16/x
  3. Step 3: Cross multiply
    279,959.16x = 420,113.70 × 113,747.16
  4. Step 4: Simplify right side
    279,959.16x = 47,786,740,252.09
  5. Step 5: Solve for x
    x = 47,786,740,252.09/279,959.16
  6. Step 6: Final answer
    x = 170,691.83

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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.