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Finding the Fourth Proportional to 255,222.92, 382,920.96 and 113,049.08

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Solution

The fourth proportional to 255,222.92, 382,920.96 and 113,049.08 is: 169,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,222.92 : 382,920.96 = 113,049.08 : x
  2. Step 2: Convert to fraction form
    255,222.92/382,920.96 = 113,049.08/x
  3. Step 3: Cross multiply
    255,222.92x = 382,920.96 × 113,049.08
  4. Step 4: Simplify right side
    255,222.92x = 43,288,862,240.72
  5. Step 5: Solve for x
    x = 43,288,862,240.72/255,222.92
  6. Step 6: Final answer
    x = 169,611.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.