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Finding the Fourth Proportional to 164,409.46, 226,885.38 and 91,812

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Solution

The fourth proportional to 164,409.46, 226,885.38 and 91,812 is: 126,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,409.46 : 226,885.38 = 91,812 : x
  2. Step 2: Convert to fraction form
    164,409.46/226,885.38 = 91,812/x
  3. Step 3: Cross multiply
    164,409.46x = 226,885.38 × 91,812
  4. Step 4: Simplify right side
    164,409.46x = 20,830,800,508.56
  5. Step 5: Solve for x
    x = 20,830,800,508.56/164,409.46
  6. Step 6: Final answer
    x = 126,700.74

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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.