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Finding the Fourth Proportional to 227,764.80, 341,639.10 and 103,105.80

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Solution

The fourth proportional to 227,764.80, 341,639.10 and 103,105.80 is: 154,655.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,764.80 : 341,639.10 = 103,105.80 : x
  2. Step 2: Convert to fraction form
    227,764.80/341,639.10 = 103,105.80/x
  3. Step 3: Cross multiply
    227,764.80x = 341,639.10 × 103,105.80
  4. Step 4: Simplify right side
    227,764.80x = 35,224,972,716.78
  5. Step 5: Solve for x
    x = 35,224,972,716.78/227,764.80
  6. Step 6: Final answer
    x = 154,655.03

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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.