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Finding the Fourth Proportional to 135,306.68, 202,960.88 and 35,466

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Solution

The fourth proportional to 135,306.68, 202,960.88 and 35,466 is: 53,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,306.68 : 202,960.88 = 35,466 : x
  2. Step 2: Convert to fraction form
    135,306.68/202,960.88 = 35,466/x
  3. Step 3: Cross multiply
    135,306.68x = 202,960.88 × 35,466
  4. Step 4: Simplify right side
    135,306.68x = 7,198,210,570.08
  5. Step 5: Solve for x
    x = 7,198,210,570.08/135,306.68
  6. Step 6: Final answer
    x = 53,199.23

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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.