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Finding the Fourth Proportional to 196,387.31, 294,580.98 and 54,227.90

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Solution

The fourth proportional to 196,387.31, 294,580.98 and 54,227.90 is: 81,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,387.31 : 294,580.98 = 54,227.90 : x
  2. Step 2: Convert to fraction form
    196,387.31/294,580.98 = 54,227.90/x
  3. Step 3: Cross multiply
    196,387.31x = 294,580.98 × 54,227.90
  4. Step 4: Simplify right side
    196,387.31x = 15,974,506,452.44
  5. Step 5: Solve for x
    x = 15,974,506,452.44/196,387.31
  6. Step 6: Final answer
    x = 81,341.85

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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.