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Finding the Fourth Proportional to 227,224.90, 340,834.15 and 102,565.70

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Solution

The fourth proportional to 227,224.90, 340,834.15 and 102,565.70 is: 153,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,224.90 : 340,834.15 = 102,565.70 : x
  2. Step 2: Convert to fraction form
    227,224.90/340,834.15 = 102,565.70/x
  3. Step 3: Cross multiply
    227,224.90x = 340,834.15 × 102,565.70
  4. Step 4: Simplify right side
    227,224.90x = 34,957,893,178.66
  5. Step 5: Solve for x
    x = 34,957,893,178.66/227,224.90
  6. Step 6: Final answer
    x = 153,847.11

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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.