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Finding the Fourth Proportional to 117,446.40, 162,020.64 and 67,116

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Solution

The fourth proportional to 117,446.40, 162,020.64 and 67,116 is: 92,588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,446.40 : 162,020.64 = 67,116 : x
  2. Step 2: Convert to fraction form
    117,446.40/162,020.64 = 67,116/x
  3. Step 3: Cross multiply
    117,446.40x = 162,020.64 × 67,116
  4. Step 4: Simplify right side
    117,446.40x = 10,874,177,274.24
  5. Step 5: Solve for x
    x = 10,874,177,274.24/117,446.40
  6. Step 6: Final answer
    x = 92,588.43

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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.