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Finding the Fourth Proportional to 135,034.24, 186,347.26 and 75,418.24

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Solution

The fourth proportional to 135,034.24, 186,347.26 and 75,418.24 is: 104,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,034.24 : 186,347.26 = 75,418.24 : x
  2. Step 2: Convert to fraction form
    135,034.24/186,347.26 = 75,418.24/x
  3. Step 3: Cross multiply
    135,034.24x = 186,347.26 × 75,418.24
  4. Step 4: Simplify right side
    135,034.24x = 14,053,982,378.02
  5. Step 5: Solve for x
    x = 14,053,982,378.02/135,034.24
  6. Step 6: Final answer
    x = 104,077.18

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