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Finding the Fourth Proportional to 194,402.67, 291,643.49 and 82,083.21

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Solution

The fourth proportional to 194,402.67, 291,643.49 and 82,083.21 is: 123,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,402.67 : 291,643.49 = 82,083.21 : x
  2. Step 2: Convert to fraction form
    194,402.67/291,643.49 = 82,083.21/x
  3. Step 3: Cross multiply
    194,402.67x = 291,643.49 × 82,083.21
  4. Step 4: Simplify right side
    194,402.67x = 23,939,033,834.80
  5. Step 5: Solve for x
    x = 23,939,033,834.80/194,402.67
  6. Step 6: Final answer
    x = 123,141.49

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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.