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Finding the Fourth Proportional to 104,198.32, 143,793.83 and 56,451.67

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Solution

The fourth proportional to 104,198.32, 143,793.83 and 56,451.67 is: 77,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,198.32 : 143,793.83 = 56,451.67 : x
  2. Step 2: Convert to fraction form
    104,198.32/143,793.83 = 56,451.67/x
  3. Step 3: Cross multiply
    104,198.32x = 143,793.83 × 56,451.67
  4. Step 4: Simplify right side
    104,198.32x = 8,117,401,620.84
  5. Step 5: Solve for x
    x = 8,117,401,620.84/104,198.32
  6. Step 6: Final answer
    x = 77,903.38

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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.