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Finding the Fourth Proportional to 195,045.31, 292,578.90 and 54,793

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Solution

The fourth proportional to 195,045.31, 292,578.90 and 54,793 is: 82,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,045.31 : 292,578.90 = 54,793 : x
  2. Step 2: Convert to fraction form
    195,045.31/292,578.90 = 54,793/x
  3. Step 3: Cross multiply
    195,045.31x = 292,578.90 × 54,793
  4. Step 4: Simplify right side
    195,045.31x = 16,031,275,667.70
  5. Step 5: Solve for x
    x = 16,031,275,667.70/195,045.31
  6. Step 6: Final answer
    x = 82,192.57

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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.