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Finding the Fourth Proportional to 278,261.60, 384,001.20 and 150,936.80

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Solution

The fourth proportional to 278,261.60, 384,001.20 and 150,936.80 is: 208,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,261.60 : 384,001.20 = 150,936.80 : x
  2. Step 2: Convert to fraction form
    278,261.60/384,001.20 = 150,936.80/x
  3. Step 3: Cross multiply
    278,261.60x = 384,001.20 × 150,936.80
  4. Step 4: Simplify right side
    278,261.60x = 57,959,912,324.16
  5. Step 5: Solve for x
    x = 57,959,912,324.16/278,261.60
  6. Step 6: Final answer
    x = 208,292.89

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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.