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Finding the Fourth Proportional to 143,209.13, 214,912.31 and 49,714.88

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Solution

The fourth proportional to 143,209.13, 214,912.31 and 49,714.88 is: 74,606.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,209.13 : 214,912.31 = 49,714.88 : x
  2. Step 2: Convert to fraction form
    143,209.13/214,912.31 = 49,714.88/x
  3. Step 3: Cross multiply
    143,209.13x = 214,912.31 × 49,714.88
  4. Step 4: Simplify right side
    143,209.13x = 10,684,338,379.04
  5. Step 5: Solve for x
    x = 10,684,338,379.04/143,209.13
  6. Step 6: Final answer
    x = 74,606.55

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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.