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Finding the Fourth Proportional to 266,382.18, 367,601.34 and 145,524

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Solution

The fourth proportional to 266,382.18, 367,601.34 and 145,524 is: 200,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,382.18 : 367,601.34 = 145,524 : x
  2. Step 2: Convert to fraction form
    266,382.18/367,601.34 = 145,524/x
  3. Step 3: Cross multiply
    266,382.18x = 367,601.34 × 145,524
  4. Step 4: Simplify right side
    266,382.18x = 53,494,817,402.16
  5. Step 5: Solve for x
    x = 53,494,817,402.16/266,382.18
  6. Step 6: Final answer
    x = 200,819.80

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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.