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Finding the Fourth Proportional to 268,251.42, 402,439.46 and 78,704.14

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Solution

The fourth proportional to 268,251.42, 402,439.46 and 78,704.14 is: 118,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,251.42 : 402,439.46 = 78,704.14 : x
  2. Step 2: Convert to fraction form
    268,251.42/402,439.46 = 78,704.14/x
  3. Step 3: Cross multiply
    268,251.42x = 402,439.46 × 78,704.14
  4. Step 4: Simplify right side
    268,251.42x = 31,673,651,601.36
  5. Step 5: Solve for x
    x = 31,673,651,601.36/268,251.42
  6. Step 6: Final answer
    x = 118,074.50

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Why These Related Problems?

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