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Finding the Fourth Proportional to 317,076.12, 475,608.68 and 106,714.06

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Solution

The fourth proportional to 317,076.12, 475,608.68 and 106,714.06 is: 160,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,076.12 : 475,608.68 = 106,714.06 : x
  2. Step 2: Convert to fraction form
    317,076.12/475,608.68 = 106,714.06/x
  3. Step 3: Cross multiply
    317,076.12x = 475,608.68 × 106,714.06
  4. Step 4: Simplify right side
    317,076.12x = 50,754,133,214.04
  5. Step 5: Solve for x
    x = 50,754,133,214.04/317,076.12
  6. Step 6: Final answer
    x = 160,069.24

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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.