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Finding the Fourth Proportional to 225,964.96, 338,534.32 and 105,801.48

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Solution

The fourth proportional to 225,964.96, 338,534.32 and 105,801.48 is: 158,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,964.96 : 338,534.32 = 105,801.48 : x
  2. Step 2: Convert to fraction form
    225,964.96/338,534.32 = 105,801.48/x
  3. Step 3: Cross multiply
    225,964.96x = 338,534.32 × 105,801.48
  4. Step 4: Simplify right side
    225,964.96x = 35,817,432,086.79
  5. Step 5: Solve for x
    x = 35,817,432,086.79/225,964.96
  6. Step 6: Final answer
    x = 158,508.79

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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.