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Finding the Fourth Proportional to 123,644.80, 185,321.40 and 92,443.60

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Solution

The fourth proportional to 123,644.80, 185,321.40 and 92,443.60 is: 138,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,644.80 : 185,321.40 = 92,443.60 : x
  2. Step 2: Convert to fraction form
    123,644.80/185,321.40 = 92,443.60/x
  3. Step 3: Cross multiply
    123,644.80x = 185,321.40 × 92,443.60
  4. Step 4: Simplify right side
    123,644.80x = 17,131,777,373.04
  5. Step 5: Solve for x
    x = 17,131,777,373.04/123,644.80
  6. Step 6: Final answer
    x = 138,556.39

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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.