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Finding the Fourth Proportional to 194,543.66, 291,745.22 and 82,232.57

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Solution

The fourth proportional to 194,543.66, 291,745.22 and 82,232.57 is: 123,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,543.66 : 291,745.22 = 82,232.57 : x
  2. Step 2: Convert to fraction form
    194,543.66/291,745.22 = 82,232.57/x
  3. Step 3: Cross multiply
    194,543.66x = 291,745.22 × 82,232.57
  4. Step 4: Simplify right side
    194,543.66x = 23,990,957,355.93
  5. Step 5: Solve for x
    x = 23,990,957,355.93/194,543.66
  6. Step 6: Final answer
    x = 123,319.15

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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.