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Finding the Fourth Proportional to 143,412.48, 215,180.64 and 54,692.64

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Solution

The fourth proportional to 143,412.48, 215,180.64 and 54,692.64 is: 82,062.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,412.48 : 215,180.64 = 54,692.64 : x
  2. Step 2: Convert to fraction form
    143,412.48/215,180.64 = 54,692.64/x
  3. Step 3: Cross multiply
    143,412.48x = 215,180.64 × 54,692.64
  4. Step 4: Simplify right side
    143,412.48x = 11,768,797,278.49
  5. Step 5: Solve for x
    x = 11,768,797,278.49/143,412.48
  6. Step 6: Final answer
    x = 82,062.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.