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Finding the Fourth Proportional to 143,806.80, 214,645.56 and 134,942.16

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Solution

The fourth proportional to 143,806.80, 214,645.56 and 134,942.16 is: 201,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,806.80 : 214,645.56 = 134,942.16 : x
  2. Step 2: Convert to fraction form
    143,806.80/214,645.56 = 134,942.16/x
  3. Step 3: Cross multiply
    143,806.80x = 214,645.56 × 134,942.16
  4. Step 4: Simplify right side
    143,806.80x = 28,964,735,500.81
  5. Step 5: Solve for x
    x = 28,964,735,500.81/143,806.80
  6. Step 6: Final answer
    x = 201,414.23

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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.