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Finding the Fourth Proportional to 227,713.10, 341,569.65 and 109,355.90

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Solution

The fourth proportional to 227,713.10, 341,569.65 and 109,355.90 is: 164,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,713.10 : 341,569.65 = 109,355.90 : x
  2. Step 2: Convert to fraction form
    227,713.10/341,569.65 = 109,355.90/x
  3. Step 3: Cross multiply
    227,713.10x = 341,569.65 × 109,355.90
  4. Step 4: Simplify right side
    227,713.10x = 37,352,656,488.44
  5. Step 5: Solve for x
    x = 37,352,656,488.44/227,713.10
  6. Step 6: Final answer
    x = 164,033.85

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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.