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Finding the Fourth Proportional to 225,504.47, 338,367.84 and 105,569.54

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Solution

The fourth proportional to 225,504.47, 338,367.84 and 105,569.54 is: 158,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,504.47 : 338,367.84 = 105,569.54 : x
  2. Step 2: Convert to fraction form
    225,504.47/338,367.84 = 105,569.54/x
  3. Step 3: Cross multiply
    225,504.47x = 338,367.84 × 105,569.54
  4. Step 4: Simplify right side
    225,504.47x = 35,721,335,527.75
  5. Step 5: Solve for x
    x = 35,721,335,527.75/225,504.47
  6. Step 6: Final answer
    x = 158,406.33

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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.