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Finding the Fourth Proportional to 136,694.22, 205,051.14 and 41,912.10

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Solution

The fourth proportional to 136,694.22, 205,051.14 and 41,912.10 is: 62,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,694.22 : 205,051.14 = 41,912.10 : x
  2. Step 2: Convert to fraction form
    136,694.22/205,051.14 = 41,912.10/x
  3. Step 3: Cross multiply
    136,694.22x = 205,051.14 × 41,912.10
  4. Step 4: Simplify right side
    136,694.22x = 8,594,123,884.79
  5. Step 5: Solve for x
    x = 8,594,123,884.79/136,694.22
  6. Step 6: Final answer
    x = 62,871.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.