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Finding the Fourth Proportional to 194,524.76, 291,818.22 and 82,206.04

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Solution

The fourth proportional to 194,524.76, 291,818.22 and 82,206.04 is: 123,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,524.76 : 291,818.22 = 82,206.04 : x
  2. Step 2: Convert to fraction form
    194,524.76/291,818.22 = 82,206.04/x
  3. Step 3: Cross multiply
    194,524.76x = 291,818.22 × 82,206.04
  4. Step 4: Simplify right side
    194,524.76x = 23,989,220,266.05
  5. Step 5: Solve for x
    x = 23,989,220,266.05/194,524.76
  6. Step 6: Final answer
    x = 123,322.19

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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.