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Finding the Fourth Proportional to 111,055.97, 166,533.87 and 54,874.16

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Solution

The fourth proportional to 111,055.97, 166,533.87 and 54,874.16 is: 82,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,055.97 : 166,533.87 = 54,874.16 : x
  2. Step 2: Convert to fraction form
    111,055.97/166,533.87 = 54,874.16/x
  3. Step 3: Cross multiply
    111,055.97x = 166,533.87 × 54,874.16
  4. Step 4: Simplify right side
    111,055.97x = 9,138,406,227.80
  5. Step 5: Solve for x
    x = 9,138,406,227.80/111,055.97
  6. Step 6: Final answer
    x = 82,286.49

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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.