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Finding the Fourth Proportional to 109,749.66, 164,511.50 and 43,162.80

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Solution

The fourth proportional to 109,749.66, 164,511.50 and 43,162.80 is: 64,699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,749.66 : 164,511.50 = 43,162.80 : x
  2. Step 2: Convert to fraction form
    109,749.66/164,511.50 = 43,162.80/x
  3. Step 3: Cross multiply
    109,749.66x = 164,511.50 × 43,162.80
  4. Step 4: Simplify right side
    109,749.66x = 7,100,776,756.39
  5. Step 5: Solve for x
    x = 7,100,776,756.39/109,749.66
  6. Step 6: Final answer
    x = 64,699.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.