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Finding the Fourth Proportional to 114,443.64, 171,198.54 and 92,282.04

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Solution

The fourth proportional to 114,443.64, 171,198.54 and 92,282.04 is: 138,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,443.64 : 171,198.54 = 92,282.04 : x
  2. Step 2: Convert to fraction form
    114,443.64/171,198.54 = 92,282.04/x
  3. Step 3: Cross multiply
    114,443.64x = 171,198.54 × 92,282.04
  4. Step 4: Simplify right side
    114,443.64x = 15,798,550,516.22
  5. Step 5: Solve for x
    x = 15,798,550,516.22/114,443.64
  6. Step 6: Final answer
    x = 138,046.56

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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.