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Finding the Fourth Proportional to 317,081.48, 475,695.44 and 106,714.28

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Solution

The fourth proportional to 317,081.48, 475,695.44 and 106,714.28 is: 160,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,081.48 : 475,695.44 = 106,714.28 : x
  2. Step 2: Convert to fraction form
    317,081.48/475,695.44 = 106,714.28/x
  3. Step 3: Cross multiply
    317,081.48x = 475,695.44 × 106,714.28
  4. Step 4: Simplify right side
    317,081.48x = 50,763,496,378.88
  5. Step 5: Solve for x
    x = 50,763,496,378.88/317,081.48
  6. Step 6: Final answer
    x = 160,096.06

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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.