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Finding the Fourth Proportional to 123,291.38, 170,132.41 and 75,538.23

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Solution

The fourth proportional to 123,291.38, 170,132.41 and 75,538.23 is: 104,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,291.38 : 170,132.41 = 75,538.23 : x
  2. Step 2: Convert to fraction form
    123,291.38/170,132.41 = 75,538.23/x
  3. Step 3: Cross multiply
    123,291.38x = 170,132.41 × 75,538.23
  4. Step 4: Simplify right side
    123,291.38x = 12,851,500,739.34
  5. Step 5: Solve for x
    x = 12,851,500,739.34/123,291.38
  6. Step 6: Final answer
    x = 104,236.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.