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Finding the Fourth Proportional to 194,507.68, 291,874.29 and 82,180.63

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Solution

The fourth proportional to 194,507.68, 291,874.29 and 82,180.63 is: 123,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,507.68 : 291,874.29 = 82,180.63 : x
  2. Step 2: Convert to fraction form
    194,507.68/291,874.29 = 82,180.63/x
  3. Step 3: Cross multiply
    194,507.68x = 291,874.29 × 82,180.63
  4. Step 4: Simplify right side
    194,507.68x = 23,986,411,447.88
  5. Step 5: Solve for x
    x = 23,986,411,447.88/194,507.68
  6. Step 6: Final answer
    x = 123,318.58

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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.