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Finding the Fourth Proportional to 137,722.80, 206,584.20 and 115,415.40

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Solution

The fourth proportional to 137,722.80, 206,584.20 and 115,415.40 is: 173,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,722.80 : 206,584.20 = 115,415.40 : x
  2. Step 2: Convert to fraction form
    137,722.80/206,584.20 = 115,415.40/x
  3. Step 3: Cross multiply
    137,722.80x = 206,584.20 × 115,415.40
  4. Step 4: Simplify right side
    137,722.80x = 23,842,998,076.68
  5. Step 5: Solve for x
    x = 23,842,998,076.68/137,722.80
  6. Step 6: Final answer
    x = 173,123.10

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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.