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Finding the Fourth Proportional to 225,482.40, 338,254.66 and 75,765.46

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Solution

The fourth proportional to 225,482.40, 338,254.66 and 75,765.46 is: 113,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,482.40 : 338,254.66 = 75,765.46 : x
  2. Step 2: Convert to fraction form
    225,482.40/338,254.66 = 75,765.46/x
  3. Step 3: Cross multiply
    225,482.40x = 338,254.66 × 75,765.46
  4. Step 4: Simplify right side
    225,482.40x = 25,628,019,912.04
  5. Step 5: Solve for x
    x = 25,628,019,912.04/225,482.40
  6. Step 6: Final answer
    x = 113,658.63

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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.