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Finding the Fourth Proportional to 225,049.05, 310,069.24 and 148,432.97

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Solution

The fourth proportional to 225,049.05, 310,069.24 and 148,432.97 is: 204,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,049.05 : 310,069.24 = 148,432.97 : x
  2. Step 2: Convert to fraction form
    225,049.05/310,069.24 = 148,432.97/x
  3. Step 3: Cross multiply
    225,049.05x = 310,069.24 × 148,432.97
  4. Step 4: Simplify right side
    225,049.05x = 46,024,498,602.93
  5. Step 5: Solve for x
    x = 46,024,498,602.93/225,049.05
  6. Step 6: Final answer
    x = 204,508.74

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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.