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Finding the Fourth Proportional to 225,238.92, 310,694.57 and 148,758.17

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Solution

The fourth proportional to 225,238.92, 310,694.57 and 148,758.17 is: 205,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,238.92 : 310,694.57 = 148,758.17 : x
  2. Step 2: Convert to fraction form
    225,238.92/310,694.57 = 148,758.17/x
  3. Step 3: Cross multiply
    225,238.92x = 310,694.57 × 148,758.17
  4. Step 4: Simplify right side
    225,238.92x = 46,218,354,480.56
  5. Step 5: Solve for x
    x = 46,218,354,480.56/225,238.92
  6. Step 6: Final answer
    x = 205,197.02

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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.