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Finding the Fourth Proportional to 204,787.20, 307,180.80 and 57,043.20

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Solution

The fourth proportional to 204,787.20, 307,180.80 and 57,043.20 is: 85,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,787.20 : 307,180.80 = 57,043.20 : x
  2. Step 2: Convert to fraction form
    204,787.20/307,180.80 = 57,043.20/x
  3. Step 3: Cross multiply
    204,787.20x = 307,180.80 × 57,043.20
  4. Step 4: Simplify right side
    204,787.20x = 17,522,575,810.56
  5. Step 5: Solve for x
    x = 17,522,575,810.56/204,787.20
  6. Step 6: Final answer
    x = 85,564.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.