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Finding the Fourth Proportional to 135,175.21, 186,539.84 and 74,744.53

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Solution

The fourth proportional to 135,175.21, 186,539.84 and 74,744.53 is: 103,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,175.21 : 186,539.84 = 74,744.53 : x
  2. Step 2: Convert to fraction form
    135,175.21/186,539.84 = 74,744.53/x
  3. Step 3: Cross multiply
    135,175.21x = 186,539.84 × 74,744.53
  4. Step 4: Simplify right side
    135,175.21x = 13,942,831,734.38
  5. Step 5: Solve for x
    x = 13,942,831,734.38/135,175.21
  6. Step 6: Final answer
    x = 103,146.37

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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.