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Finding the Fourth Proportional to 280,399.78, 386,938.20 and 159,529.78

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Solution

The fourth proportional to 280,399.78, 386,938.20 and 159,529.78 is: 220,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,399.78 : 386,938.20 = 159,529.78 : x
  2. Step 2: Convert to fraction form
    280,399.78/386,938.20 = 159,529.78/x
  3. Step 3: Cross multiply
    280,399.78x = 386,938.20 × 159,529.78
  4. Step 4: Simplify right side
    280,399.78x = 61,728,165,919.60
  5. Step 5: Solve for x
    x = 61,728,165,919.60/280,399.78
  6. Step 6: Final answer
    x = 220,143.42

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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.