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Finding the Fourth Proportional to 225,955.46, 338,520.08 and 105,791.96

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Solution

The fourth proportional to 225,955.46, 338,520.08 and 105,791.96 is: 158,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,955.46 : 338,520.08 = 105,791.96 : x
  2. Step 2: Convert to fraction form
    225,955.46/338,520.08 = 105,791.96/x
  3. Step 3: Cross multiply
    225,955.46x = 338,520.08 × 105,791.96
  4. Step 4: Simplify right side
    225,955.46x = 35,812,702,762.56
  5. Step 5: Solve for x
    x = 35,812,702,762.56/225,955.46
  6. Step 6: Final answer
    x = 158,494.52

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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.