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Finding the Fourth Proportional to 278,830, 384,787.20 and 151,505.56

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Solution

The fourth proportional to 278,830, 384,787.20 and 151,505.56 is: 209,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,830 : 384,787.20 = 151,505.56 : x
  2. Step 2: Convert to fraction form
    278,830/384,787.20 = 151,505.56/x
  3. Step 3: Cross multiply
    278,830x = 384,787.20 × 151,505.56
  4. Step 4: Simplify right side
    278,830x = 58,297,400,216.83
  5. Step 5: Solve for x
    x = 58,297,400,216.83/278,830
  6. Step 6: Final answer
    x = 209,078.65

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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.