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Finding the Fourth Proportional to 317,080.74, 475,694.31 and 106,713.54

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Solution

The fourth proportional to 317,080.74, 475,694.31 and 106,713.54 is: 160,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,080.74 : 475,694.31 = 106,713.54 : x
  2. Step 2: Convert to fraction form
    317,080.74/475,694.31 = 106,713.54/x
  3. Step 3: Cross multiply
    317,080.74x = 475,694.31 × 106,713.54
  4. Step 4: Simplify right side
    317,080.74x = 50,763,023,777.96
  5. Step 5: Solve for x
    x = 50,763,023,777.96/317,080.74
  6. Step 6: Final answer
    x = 160,094.95

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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.