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Finding the Fourth Proportional to 194,882.48, 292,354.20 and 82,562.96

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Solution

The fourth proportional to 194,882.48, 292,354.20 and 82,562.96 is: 123,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,882.48 : 292,354.20 = 82,562.96 : x
  2. Step 2: Convert to fraction form
    194,882.48/292,354.20 = 82,562.96/x
  3. Step 3: Cross multiply
    194,882.48x = 292,354.20 × 82,562.96
  4. Step 4: Simplify right side
    194,882.48x = 24,137,628,120.43
  5. Step 5: Solve for x
    x = 24,137,628,120.43/194,882.48
  6. Step 6: Final answer
    x = 123,857.35

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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.