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Finding the Fourth Proportional to 266,199.63, 367,352.87 and 145,344.80

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Solution

The fourth proportional to 266,199.63, 367,352.87 and 145,344.80 is: 200,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,199.63 : 367,352.87 = 145,344.80 : x
  2. Step 2: Convert to fraction form
    266,199.63/367,352.87 = 145,344.80/x
  3. Step 3: Cross multiply
    266,199.63x = 367,352.87 × 145,344.80
  4. Step 4: Simplify right side
    266,199.63x = 53,392,826,856.09
  5. Step 5: Solve for x
    x = 53,392,826,856.09/266,199.63
  6. Step 6: Final answer
    x = 200,574.38

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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.