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Finding the Fourth Proportional to 135,302.20, 202,966.10 and 36,806.20

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Solution

The fourth proportional to 135,302.20, 202,966.10 and 36,806.20 is: 55,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,302.20 : 202,966.10 = 36,806.20 : x
  2. Step 2: Convert to fraction form
    135,302.20/202,966.10 = 36,806.20/x
  3. Step 3: Cross multiply
    135,302.20x = 202,966.10 × 36,806.20
  4. Step 4: Simplify right side
    135,302.20x = 7,470,410,869.82
  5. Step 5: Solve for x
    x = 7,470,410,869.82/135,302.20
  6. Step 6: Final answer
    x = 55,212.78

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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.