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Finding the Fourth Proportional to 226,677.60, 339,724.80 and 137,836.80

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Solution

The fourth proportional to 226,677.60, 339,724.80 and 137,836.80 is: 206,577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,677.60 : 339,724.80 = 137,836.80 : x
  2. Step 2: Convert to fraction form
    226,677.60/339,724.80 = 137,836.80/x
  3. Step 3: Cross multiply
    226,677.60x = 339,724.80 × 137,836.80
  4. Step 4: Simplify right side
    226,677.60x = 46,826,579,312.64
  5. Step 5: Solve for x
    x = 46,826,579,312.64/226,677.60
  6. Step 6: Final answer
    x = 206,577.89

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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.