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Finding the Fourth Proportional to 225,855.76, 311,695.14 and 125,253.76

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Solution

The fourth proportional to 225,855.76, 311,695.14 and 125,253.76 is: 172,858.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,855.76 : 311,695.14 = 125,253.76 : x
  2. Step 2: Convert to fraction form
    225,855.76/311,695.14 = 125,253.76/x
  3. Step 3: Cross multiply
    225,855.76x = 311,695.14 × 125,253.76
  4. Step 4: Simplify right side
    225,855.76x = 39,040,988,258.73
  5. Step 5: Solve for x
    x = 39,040,988,258.73/225,855.76
  6. Step 6: Final answer
    x = 172,858.06

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1.5x scale

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.