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Finding the Fourth Proportional to 225,476.97, 311,158.34 and 123,504.14

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Solution

The fourth proportional to 225,476.97, 311,158.34 and 123,504.14 is: 170,435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,476.97 : 311,158.34 = 123,504.14 : x
  2. Step 2: Convert to fraction form
    225,476.97/311,158.34 = 123,504.14/x
  3. Step 3: Cross multiply
    225,476.97x = 311,158.34 × 123,504.14
  4. Step 4: Simplify right side
    225,476.97x = 38,429,342,753.49
  5. Step 5: Solve for x
    x = 38,429,342,753.49/225,476.97
  6. Step 6: Final answer
    x = 170,435.78

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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.