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Finding the Fourth Proportional to 167,106.57, 250,530.62 and 54,716.64

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Solution

The fourth proportional to 167,106.57, 250,530.62 and 54,716.64 is: 82,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,106.57 : 250,530.62 = 54,716.64 : x
  2. Step 2: Convert to fraction form
    167,106.57/250,530.62 = 54,716.64/x
  3. Step 3: Cross multiply
    167,106.57x = 250,530.62 × 54,716.64
  4. Step 4: Simplify right side
    167,106.57x = 13,708,193,743.52
  5. Step 5: Solve for x
    x = 13,708,193,743.52/167,106.57
  6. Step 6: Final answer
    x = 82,032.64

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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.