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Finding the Fourth Proportional to 225,483.40, 338,256.16 and 75,766.46

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Solution

The fourth proportional to 225,483.40, 338,256.16 and 75,766.46 is: 113,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,483.40 : 338,256.16 = 75,766.46 : x
  2. Step 2: Convert to fraction form
    225,483.40/338,256.16 = 75,766.46/x
  3. Step 3: Cross multiply
    225,483.40x = 338,256.16 × 75,766.46
  4. Step 4: Simplify right side
    225,483.40x = 25,628,471,816.39
  5. Step 5: Solve for x
    x = 25,628,471,816.39/225,483.40
  6. Step 6: Final answer
    x = 113,660.13

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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.