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Finding the Fourth Proportional to 194,604.89, 291,919.66 and 82,264.16

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Solution

The fourth proportional to 194,604.89, 291,919.66 and 82,264.16 is: 123,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,604.89 : 291,919.66 = 82,264.16 : x
  2. Step 2: Convert to fraction form
    194,604.89/291,919.66 = 82,264.16/x
  3. Step 3: Cross multiply
    194,604.89x = 291,919.66 × 82,264.16
  4. Step 4: Simplify right side
    194,604.89x = 24,014,526,141.52
  5. Step 5: Solve for x
    x = 24,014,526,141.52/194,604.89
  6. Step 6: Final answer
    x = 123,401.46

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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.