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Finding the Fourth Proportional to 512,806.70, 769,210.60 and 133,727.16

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Solution

The fourth proportional to 512,806.70, 769,210.60 and 133,727.16 is: 200,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,806.70 : 769,210.60 = 133,727.16 : x
  2. Step 2: Convert to fraction form
    512,806.70/769,210.60 = 133,727.16/x
  3. Step 3: Cross multiply
    512,806.70x = 769,210.60 × 133,727.16
  4. Step 4: Simplify right side
    512,806.70x = 102,864,348,979.90
  5. Step 5: Solve for x
    x = 102,864,348,979.90/512,806.70
  6. Step 6: Final answer
    x = 200,590.88

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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.