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Finding the Fourth Proportional to 138,604.68, 208,257.36 and 132,999.66

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Solution

The fourth proportional to 138,604.68, 208,257.36 and 132,999.66 is: 199,835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,604.68 : 208,257.36 = 132,999.66 : x
  2. Step 2: Convert to fraction form
    138,604.68/208,257.36 = 132,999.66/x
  3. Step 3: Cross multiply
    138,604.68x = 208,257.36 × 132,999.66
  4. Step 4: Simplify right side
    138,604.68x = 27,698,158,072.50
  5. Step 5: Solve for x
    x = 27,698,158,072.50/138,604.68
  6. Step 6: Final answer
    x = 199,835.66

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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.