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Finding the Fourth Proportional to 225,380.32, 311,023.92 and 123,406.24

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Solution

The fourth proportional to 225,380.32, 311,023.92 and 123,406.24 is: 170,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,380.32 : 311,023.92 = 123,406.24 : x
  2. Step 2: Convert to fraction form
    225,380.32/311,023.92 = 123,406.24/x
  3. Step 3: Cross multiply
    225,380.32x = 311,023.92 × 123,406.24
  4. Step 4: Simplify right side
    225,380.32x = 38,382,292,517.26
  5. Step 5: Solve for x
    x = 38,382,292,517.26/225,380.32
  6. Step 6: Final answer
    x = 170,300.11

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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.