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Finding the Fourth Proportional to 104,471.22, 144,168.11 and 56,724.61

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Solution

The fourth proportional to 104,471.22, 144,168.11 and 56,724.61 is: 78,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,471.22 : 144,168.11 = 56,724.61 : x
  2. Step 2: Convert to fraction form
    104,471.22/144,168.11 = 56,724.61/x
  3. Step 3: Cross multiply
    104,471.22x = 144,168.11 × 56,724.61
  4. Step 4: Simplify right side
    104,471.22x = 8,177,879,814.19
  5. Step 5: Solve for x
    x = 8,177,879,814.19/104,471.22
  6. Step 6: Final answer
    x = 78,278.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.