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Finding the Fourth Proportional to 268,438.38, 402,648.34 and 68,760.50

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Solution

The fourth proportional to 268,438.38, 402,648.34 and 68,760.50 is: 103,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,438.38 : 402,648.34 = 68,760.50 : x
  2. Step 2: Convert to fraction form
    268,438.38/402,648.34 = 68,760.50/x
  3. Step 3: Cross multiply
    268,438.38x = 402,648.34 × 68,760.50
  4. Step 4: Simplify right side
    268,438.38x = 27,686,299,319.74
  5. Step 5: Solve for x
    x = 27,686,299,319.74/268,438.38
  6. Step 6: Final answer
    x = 103,138.38

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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.