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Finding the Fourth Proportional to 226,832.83, 340,020.52 and 142,653.15

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Solution

The fourth proportional to 226,832.83, 340,020.52 and 142,653.15 is: 213,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,832.83 : 340,020.52 = 142,653.15 : x
  2. Step 2: Convert to fraction form
    226,832.83/340,020.52 = 142,653.15/x
  3. Step 3: Cross multiply
    226,832.83x = 340,020.52 × 142,653.15
  4. Step 4: Simplify right side
    226,832.83x = 48,504,998,242.64
  5. Step 5: Solve for x
    x = 48,504,998,242.64/226,832.83
  6. Step 6: Final answer
    x = 213,835.88

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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.