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Finding the Fourth Proportional to 266,217.36, 367,382.16 and 145,355.64

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Solution

The fourth proportional to 266,217.36, 367,382.16 and 145,355.64 is: 200,591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,217.36 : 367,382.16 = 145,355.64 : x
  2. Step 2: Convert to fraction form
    266,217.36/367,382.16 = 145,355.64/x
  3. Step 3: Cross multiply
    266,217.36x = 367,382.16 × 145,355.64
  4. Step 4: Simplify right side
    266,217.36x = 53,401,068,991.38
  5. Step 5: Solve for x
    x = 53,401,068,991.38/266,217.36
  6. Step 6: Final answer
    x = 200,591.99

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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.