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Finding the Fourth Proportional to 278,940.16, 384,921 and 151,614.64

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Solution

The fourth proportional to 278,940.16, 384,921 and 151,614.64 is: 209,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,940.16 : 384,921 = 151,614.64 : x
  2. Step 2: Convert to fraction form
    278,940.16/384,921 = 151,614.64/x
  3. Step 3: Cross multiply
    278,940.16x = 384,921 × 151,614.64
  4. Step 4: Simplify right side
    278,940.16x = 58,359,658,843.44
  5. Step 5: Solve for x
    x = 58,359,658,843.44/278,940.16
  6. Step 6: Final answer
    x = 209,219.28

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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.