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Finding the Fourth Proportional to 135,884.74, 202,912.04 and 110,974.21

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Solution

The fourth proportional to 135,884.74, 202,912.04 and 110,974.21 is: 165,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,884.74 : 202,912.04 = 110,974.21 : x
  2. Step 2: Convert to fraction form
    135,884.74/202,912.04 = 110,974.21/x
  3. Step 3: Cross multiply
    135,884.74x = 202,912.04 × 110,974.21
  4. Step 4: Simplify right side
    135,884.74x = 22,518,003,338.49
  5. Step 5: Solve for x
    x = 22,518,003,338.49/135,884.74
  6. Step 6: Final answer
    x = 165,714.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.