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Finding the Fourth Proportional to 266,629.68, 367,949.16 and 145,769.04

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Solution

The fourth proportional to 266,629.68, 367,949.16 and 145,769.04 is: 201,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,629.68 : 367,949.16 = 145,769.04 : x
  2. Step 2: Convert to fraction form
    266,629.68/367,949.16 = 145,769.04/x
  3. Step 3: Cross multiply
    266,629.68x = 367,949.16 × 145,769.04
  4. Step 4: Simplify right side
    266,629.68x = 53,635,595,822.01
  5. Step 5: Solve for x
    x = 53,635,595,822.01/266,629.68
  6. Step 6: Final answer
    x = 201,161.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.