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Finding the Fourth Proportional to 278,938.80, 384,938.28 and 151,614.32

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Solution

The fourth proportional to 278,938.80, 384,938.28 and 151,614.32 is: 209,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,938.80 : 384,938.28 = 151,614.32 : x
  2. Step 2: Convert to fraction form
    278,938.80/384,938.28 = 151,614.32/x
  3. Step 3: Cross multiply
    278,938.80x = 384,938.28 × 151,614.32
  4. Step 4: Simplify right side
    278,938.80x = 58,362,153,639.48
  5. Step 5: Solve for x
    x = 58,362,153,639.48/278,938.80
  6. Step 6: Final answer
    x = 209,229.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.