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Finding the Fourth Proportional to 194,605.46, 291,920.49 and 82,270.88

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Solution

The fourth proportional to 194,605.46, 291,920.49 and 82,270.88 is: 123,411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,605.46 : 291,920.49 = 82,270.88 : x
  2. Step 2: Convert to fraction form
    194,605.46/291,920.49 = 82,270.88/x
  3. Step 3: Cross multiply
    194,605.46x = 291,920.49 × 82,270.88
  4. Step 4: Simplify right side
    194,605.46x = 24,016,556,332.13
  5. Step 5: Solve for x
    x = 24,016,556,332.13/194,605.46
  6. Step 6: Final answer
    x = 123,411.53

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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.