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Finding the Fourth Proportional to 193,863.64, 290,772.96 and 53,633.20

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Solution

The fourth proportional to 193,863.64, 290,772.96 and 53,633.20 is: 80,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,863.64 : 290,772.96 = 53,633.20 : x
  2. Step 2: Convert to fraction form
    193,863.64/290,772.96 = 53,633.20/x
  3. Step 3: Cross multiply
    193,863.64x = 290,772.96 × 53,633.20
  4. Step 4: Simplify right side
    193,863.64x = 15,595,084,318.27
  5. Step 5: Solve for x
    x = 15,595,084,318.27/193,863.64
  6. Step 6: Final answer
    x = 80,443.58

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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.