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Finding the Fourth Proportional to 255,787.20, 384,141.60 and 185,745.60

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Solution

The fourth proportional to 255,787.20, 384,141.60 and 185,745.60 is: 278,953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,787.20 : 384,141.60 = 185,745.60 : x
  2. Step 2: Convert to fraction form
    255,787.20/384,141.60 = 185,745.60/x
  3. Step 3: Cross multiply
    255,787.20x = 384,141.60 × 185,745.60
  4. Step 4: Simplify right side
    255,787.20x = 71,352,611,976.96
  5. Step 5: Solve for x
    x = 71,352,611,976.96/255,787.20
  6. Step 6: Final answer
    x = 278,953.02

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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.