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Finding the Fourth Proportional to 227,469.80, 341,265.15 and 77,709.80

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Solution

The fourth proportional to 227,469.80, 341,265.15 and 77,709.80 is: 116,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,469.80 : 341,265.15 = 77,709.80 : x
  2. Step 2: Convert to fraction form
    227,469.80/341,265.15 = 77,709.80/x
  3. Step 3: Cross multiply
    227,469.80x = 341,265.15 × 77,709.80
  4. Step 4: Simplify right side
    227,469.80x = 26,519,644,847.14
  5. Step 5: Solve for x
    x = 26,519,644,847.14/227,469.80
  6. Step 6: Final answer
    x = 116,585.35

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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.