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Finding the Fourth Proportional to 317,081.37, 475,695.25 and 106,714.17

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Solution

The fourth proportional to 317,081.37, 475,695.25 and 106,714.17 is: 160,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,081.37 : 475,695.25 = 106,714.17 : x
  2. Step 2: Convert to fraction form
    317,081.37/475,695.25 = 106,714.17/x
  3. Step 3: Cross multiply
    317,081.37x = 475,695.25 × 106,714.17
  4. Step 4: Simplify right side
    317,081.37x = 50,763,421,131.43
  5. Step 5: Solve for x
    x = 50,763,421,131.43/317,081.37
  6. Step 6: Final answer
    x = 160,095.88

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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.