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Finding the Fourth Proportional to 136,713.20, 205,098.60 and 57,786.80

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Solution

The fourth proportional to 136,713.20, 205,098.60 and 57,786.80 is: 86,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,713.20 : 205,098.60 = 57,786.80 : x
  2. Step 2: Convert to fraction form
    136,713.20/205,098.60 = 57,786.80/x
  3. Step 3: Cross multiply
    136,713.20x = 205,098.60 × 57,786.80
  4. Step 4: Simplify right side
    136,713.20x = 11,851,991,778.48
  5. Step 5: Solve for x
    x = 11,851,991,778.48/136,713.20
  6. Step 6: Final answer
    x = 86,692.37

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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.