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Finding the Fourth Proportional to 138,672.80, 208,009.20 and 132,840.80

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Solution

The fourth proportional to 138,672.80, 208,009.20 and 132,840.80 is: 199,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,672.80 : 208,009.20 = 132,840.80 : x
  2. Step 2: Convert to fraction form
    138,672.80/208,009.20 = 132,840.80/x
  3. Step 3: Cross multiply
    138,672.80x = 208,009.20 × 132,840.80
  4. Step 4: Simplify right side
    138,672.80x = 27,632,108,535.36
  5. Step 5: Solve for x
    x = 27,632,108,535.36/138,672.80
  6. Step 6: Final answer
    x = 199,261.20

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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.