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Finding the Fourth Proportional to 225,982.46, 311,854.92 and 124,009.64

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Solution

The fourth proportional to 225,982.46, 311,854.92 and 124,009.64 is: 171,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,982.46 : 311,854.92 = 124,009.64 : x
  2. Step 2: Convert to fraction form
    225,982.46/311,854.92 = 124,009.64/x
  3. Step 3: Cross multiply
    225,982.46x = 311,854.92 × 124,009.64
  4. Step 4: Simplify right side
    225,982.46x = 38,673,016,361.43
  5. Step 5: Solve for x
    x = 38,673,016,361.43/225,982.46
  6. Step 6: Final answer
    x = 171,132.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.