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Finding the Fourth Proportional to 225,986, 311,859.84 and 124,013.18

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Solution

The fourth proportional to 225,986, 311,859.84 and 124,013.18 is: 171,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,986 : 311,859.84 = 124,013.18 : x
  2. Step 2: Convert to fraction form
    225,986/311,859.84 = 124,013.18/x
  3. Step 3: Cross multiply
    225,986x = 311,859.84 × 124,013.18
  4. Step 4: Simplify right side
    225,986x = 38,674,730,472.69
  5. Step 5: Solve for x
    x = 38,674,730,472.69/225,986
  6. Step 6: Final answer
    x = 171,137.73

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