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Finding the Fourth Proportional to 199,175.71, 274,862.52 and 108,531.69

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Solution

The fourth proportional to 199,175.71, 274,862.52 and 108,531.69 is: 149,773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,175.71 : 274,862.52 = 108,531.69 : x
  2. Step 2: Convert to fraction form
    199,175.71/274,862.52 = 108,531.69/x
  3. Step 3: Cross multiply
    199,175.71x = 274,862.52 × 108,531.69
  4. Step 4: Simplify right side
    199,175.71x = 29,831,293,813.26
  5. Step 5: Solve for x
    x = 29,831,293,813.26/199,175.71
  6. Step 6: Final answer
    x = 149,773.75

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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.