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Finding the Fourth Proportional to 111,054.97, 166,532.37 and 54,873.16

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Solution

The fourth proportional to 111,054.97, 166,532.37 and 54,873.16 is: 82,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,054.97 : 166,532.37 = 54,873.16 : x
  2. Step 2: Convert to fraction form
    111,054.97/166,532.37 = 54,873.16/x
  3. Step 3: Cross multiply
    111,054.97x = 166,532.37 × 54,873.16
  4. Step 4: Simplify right side
    111,054.97x = 9,138,157,384.19
  5. Step 5: Solve for x
    x = 9,138,157,384.19/111,054.97
  6. Step 6: Final answer
    x = 82,284.99

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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.