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Finding the Fourth Proportional to 194,302.80, 291,292.20 and 82,069.20

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Solution

The fourth proportional to 194,302.80, 291,292.20 and 82,069.20 is: 123,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,302.80 : 291,292.20 = 82,069.20 : x
  2. Step 2: Convert to fraction form
    194,302.80/291,292.20 = 82,069.20/x
  3. Step 3: Cross multiply
    194,302.80x = 291,292.20 × 82,069.20
  4. Step 4: Simplify right side
    194,302.80x = 23,906,117,820.24
  5. Step 5: Solve for x
    x = 23,906,117,820.24/194,302.80
  6. Step 6: Final answer
    x = 123,035.37

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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.