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Finding the Fourth Proportional to 105,268.38, 145,367.40 and 67,608.24

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Solution

The fourth proportional to 105,268.38, 145,367.40 and 67,608.24 is: 93,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,268.38 : 145,367.40 = 67,608.24 : x
  2. Step 2: Convert to fraction form
    105,268.38/145,367.40 = 67,608.24/x
  3. Step 3: Cross multiply
    105,268.38x = 145,367.40 × 67,608.24
  4. Step 4: Simplify right side
    105,268.38x = 9,828,034,067.38
  5. Step 5: Solve for x
    x = 9,828,034,067.38/105,268.38
  6. Step 6: Final answer
    x = 93,361.69

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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.