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Finding the Fourth Proportional to 317,081.62, 475,695.62 and 106,714.42

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Solution

The fourth proportional to 317,081.62, 475,695.62 and 106,714.42 is: 160,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,081.62 : 475,695.62 = 106,714.42 : x
  2. Step 2: Convert to fraction form
    317,081.62/475,695.62 = 106,714.42/x
  3. Step 3: Cross multiply
    317,081.62x = 475,695.62 × 106,714.42
  4. Step 4: Simplify right side
    317,081.62x = 50,763,580,073.15
  5. Step 5: Solve for x
    x = 50,763,580,073.15/317,081.62
  6. Step 6: Final answer
    x = 160,096.26

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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.