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Finding the Fourth Proportional to 208,367.46, 287,546.83 and 112,874.54

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Solution

The fourth proportional to 208,367.46, 287,546.83 and 112,874.54 is: 155,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,367.46 : 287,546.83 = 112,874.54 : x
  2. Step 2: Convert to fraction form
    208,367.46/287,546.83 = 112,874.54/x
  3. Step 3: Cross multiply
    208,367.46x = 287,546.83 × 112,874.54
  4. Step 4: Simplify right side
    208,367.46x = 32,456,714,444.79
  5. Step 5: Solve for x
    x = 32,456,714,444.79/208,367.46
  6. Step 6: Final answer
    x = 155,766.71

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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.