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Finding the Fourth Proportional to 106,034.11, 146,361.12 and 67,896.34

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Solution

The fourth proportional to 106,034.11, 146,361.12 and 67,896.34 is: 93,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,034.11 : 146,361.12 = 67,896.34 : x
  2. Step 2: Convert to fraction form
    106,034.11/146,361.12 = 67,896.34/x
  3. Step 3: Cross multiply
    106,034.11x = 146,361.12 × 67,896.34
  4. Step 4: Simplify right side
    106,034.11x = 9,937,384,366.30
  5. Step 5: Solve for x
    x = 9,937,384,366.30/106,034.11
  6. Step 6: Final answer
    x = 93,718.75

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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.