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Finding the Fourth Proportional to 266,451.96, 367,692.26 and 145,591.32

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Solution

The fourth proportional to 266,451.96, 367,692.26 and 145,591.32 is: 200,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,451.96 : 367,692.26 = 145,591.32 : x
  2. Step 2: Convert to fraction form
    266,451.96/367,692.26 = 145,591.32/x
  3. Step 3: Cross multiply
    266,451.96x = 367,692.26 × 145,591.32
  4. Step 4: Simplify right side
    266,451.96x = 53,532,801,487.18
  5. Step 5: Solve for x
    x = 53,532,801,487.18/266,451.96
  6. Step 6: Final answer
    x = 200,909.77

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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.