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Finding the Fourth Proportional to 106,120.38, 146,403.66 and 67,871.10

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Solution

The fourth proportional to 106,120.38, 146,403.66 and 67,871.10 is: 93,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,120.38 : 146,403.66 = 67,871.10 : x
  2. Step 2: Convert to fraction form
    106,120.38/146,403.66 = 67,871.10/x
  3. Step 3: Cross multiply
    106,120.38x = 146,403.66 × 67,871.10
  4. Step 4: Simplify right side
    106,120.38x = 9,936,577,448.23
  5. Step 5: Solve for x
    x = 9,936,577,448.23/106,120.38
  6. Step 6: Final answer
    x = 93,634.96

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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.