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Finding the Fourth Proportional to 157,205.44, 216,947.41 and 85,589.39

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Solution

The fourth proportional to 157,205.44, 216,947.41 and 85,589.39 is: 118,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,205.44 : 216,947.41 = 85,589.39 : x
  2. Step 2: Convert to fraction form
    157,205.44/216,947.41 = 85,589.39/x
  3. Step 3: Cross multiply
    157,205.44x = 216,947.41 × 85,589.39
  4. Step 4: Simplify right side
    157,205.44x = 18,568,396,056.03
  5. Step 5: Solve for x
    x = 18,568,396,056.03/157,205.44
  6. Step 6: Final answer
    x = 118,115.48

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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.