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Finding the Fourth Proportional to 268,538.20, 402,551.30 and 100,013.40

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Solution

The fourth proportional to 268,538.20, 402,551.30 and 100,013.40 is: 149,924.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,538.20 : 402,551.30 = 100,013.40 : x
  2. Step 2: Convert to fraction form
    268,538.20/402,551.30 = 100,013.40/x
  3. Step 3: Cross multiply
    268,538.20x = 402,551.30 × 100,013.40
  4. Step 4: Simplify right side
    268,538.20x = 40,260,524,187.42
  5. Step 5: Solve for x
    x = 40,260,524,187.42/268,538.20
  6. Step 6: Final answer
    x = 149,924.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.