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Finding the Fourth Proportional to 225,902.92, 311,744.76 and 123,925.77

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Solution

The fourth proportional to 225,902.92, 311,744.76 and 123,925.77 is: 171,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,902.92 : 311,744.76 = 123,925.77 : x
  2. Step 2: Convert to fraction form
    225,902.92/311,744.76 = 123,925.77/x
  3. Step 3: Cross multiply
    225,902.92x = 311,744.76 × 123,925.77
  4. Step 4: Simplify right side
    225,902.92x = 38,633,209,426.47
  5. Step 5: Solve for x
    x = 38,633,209,426.47/225,902.92
  6. Step 6: Final answer
    x = 171,016.87

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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.