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Finding the Fourth Proportional to 114,198.96, 171,200.08 and 54,953.12

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Solution

The fourth proportional to 114,198.96, 171,200.08 and 54,953.12 is: 82,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,198.96 : 171,200.08 = 54,953.12 : x
  2. Step 2: Convert to fraction form
    114,198.96/171,200.08 = 54,953.12/x
  3. Step 3: Cross multiply
    114,198.96x = 171,200.08 × 54,953.12
  4. Step 4: Simplify right side
    114,198.96x = 9,407,978,540.25
  5. Step 5: Solve for x
    x = 9,407,978,540.25/114,198.96
  6. Step 6: Final answer
    x = 82,382.35

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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.