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Finding the Fourth Proportional to 102,073.20, 140,822.28 and 75,279.48

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Solution

The fourth proportional to 102,073.20, 140,822.28 and 75,279.48 is: 103,857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,073.20 : 140,822.28 = 75,279.48 : x
  2. Step 2: Convert to fraction form
    102,073.20/140,822.28 = 75,279.48/x
  3. Step 3: Cross multiply
    102,073.20x = 140,822.28 × 75,279.48
  4. Step 4: Simplify right side
    102,073.20x = 10,601,028,010.81
  5. Step 5: Solve for x
    x = 10,601,028,010.81/102,073.20
  6. Step 6: Final answer
    x = 103,857.11

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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.