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Finding the Fourth Proportional to 226,683.60, 339,733.80 and 137,842.80

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Solution

The fourth proportional to 226,683.60, 339,733.80 and 137,842.80 is: 206,586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,683.60 : 339,733.80 = 137,842.80 : x
  2. Step 2: Convert to fraction form
    226,683.60/339,733.80 = 137,842.80/x
  3. Step 3: Cross multiply
    226,683.60x = 339,733.80 × 137,842.80
  4. Step 4: Simplify right side
    226,683.60x = 46,829,858,246.64
  5. Step 5: Solve for x
    x = 46,829,858,246.64/226,683.60
  6. Step 6: Final answer
    x = 206,586.88

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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.