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Finding the Fourth Proportional to 194,992.52, 292,451.78 and 95,052.20

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Solution

The fourth proportional to 194,992.52, 292,451.78 and 95,052.20 is: 142,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,992.52 : 292,451.78 = 95,052.20 : x
  2. Step 2: Convert to fraction form
    194,992.52/292,451.78 = 95,052.20/x
  3. Step 3: Cross multiply
    194,992.52x = 292,451.78 × 95,052.20
  4. Step 4: Simplify right side
    194,992.52x = 27,798,183,858.29
  5. Step 5: Solve for x
    x = 27,798,183,858.29/194,992.52
  6. Step 6: Final answer
    x = 142,560.26

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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.