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Finding the Fourth Proportional to 185,105.68, 255,446.34 and 100,222.56

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Solution

The fourth proportional to 185,105.68, 255,446.34 and 100,222.56 is: 138,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,105.68 : 255,446.34 = 100,222.56 : x
  2. Step 2: Convert to fraction form
    185,105.68/255,446.34 = 100,222.56/x
  3. Step 3: Cross multiply
    185,105.68x = 255,446.34 × 100,222.56
  4. Step 4: Simplify right side
    185,105.68x = 25,601,486,137.43
  5. Step 5: Solve for x
    x = 25,601,486,137.43/185,105.68
  6. Step 6: Final answer
    x = 138,307.40

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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.