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Finding the Fourth Proportional to 266,052.96, 367,160.85 and 145,201.97

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Solution

The fourth proportional to 266,052.96, 367,160.85 and 145,201.97 is: 200,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,052.96 : 367,160.85 = 145,201.97 : x
  2. Step 2: Convert to fraction form
    266,052.96/367,160.85 = 145,201.97/x
  3. Step 3: Cross multiply
    266,052.96x = 367,160.85 × 145,201.97
  4. Step 4: Simplify right side
    266,052.96x = 53,312,479,644.78
  5. Step 5: Solve for x
    x = 53,312,479,644.78/266,052.96
  6. Step 6: Final answer
    x = 200,382.96

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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.