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Finding the Fourth Proportional to 225,865.97, 311,695.46 and 123,892.26

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Solution

The fourth proportional to 225,865.97, 311,695.46 and 123,892.26 is: 170,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,865.97 : 311,695.46 = 123,892.26 : x
  2. Step 2: Convert to fraction form
    225,865.97/311,695.46 = 123,892.26/x
  3. Step 3: Cross multiply
    225,865.97x = 311,695.46 × 123,892.26
  4. Step 4: Simplify right side
    225,865.97x = 38,616,653,647.42
  5. Step 5: Solve for x
    x = 38,616,653,647.42/225,865.97
  6. Step 6: Final answer
    x = 170,971.55

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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.