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Finding the Fourth Proportional to 137,729.40, 206,199.90 and 84,782.40

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Solution

The fourth proportional to 137,729.40, 206,199.90 and 84,782.40 is: 126,930.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,729.40 : 206,199.90 = 84,782.40 : x
  2. Step 2: Convert to fraction form
    137,729.40/206,199.90 = 84,782.40/x
  3. Step 3: Cross multiply
    137,729.40x = 206,199.90 × 84,782.40
  4. Step 4: Simplify right side
    137,729.40x = 17,482,122,401.76
  5. Step 5: Solve for x
    x = 17,482,122,401.76/137,729.40
  6. Step 6: Final answer
    x = 126,930.94

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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.