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Finding the Fourth Proportional to 227,797.10, 341,695.65 and 109,439.90

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Solution

The fourth proportional to 227,797.10, 341,695.65 and 109,439.90 is: 164,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,797.10 : 341,695.65 = 109,439.90 : x
  2. Step 2: Convert to fraction form
    227,797.10/341,695.65 = 109,439.90/x
  3. Step 3: Cross multiply
    227,797.10x = 341,695.65 × 109,439.90
  4. Step 4: Simplify right side
    227,797.10x = 37,395,137,766.44
  5. Step 5: Solve for x
    x = 37,395,137,766.44/227,797.10
  6. Step 6: Final answer
    x = 164,159.85

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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.