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Finding the Fourth Proportional to 308,066.83, 462,152.79 and 137,350.49

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Solution

The fourth proportional to 308,066.83, 462,152.79 and 137,350.49 is: 206,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,066.83 : 462,152.79 = 137,350.49 : x
  2. Step 2: Convert to fraction form
    308,066.83/462,152.79 = 137,350.49/x
  3. Step 3: Cross multiply
    308,066.83x = 462,152.79 × 137,350.49
  4. Step 4: Simplify right side
    308,066.83x = 63,476,912,161.37
  5. Step 5: Solve for x
    x = 63,476,912,161.37/308,066.83
  6. Step 6: Final answer
    x = 206,049.16

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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.