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Finding the Fourth Proportional to 213,667.28, 320,274.92 and 80,489.94

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Solution

The fourth proportional to 213,667.28, 320,274.92 and 80,489.94 is: 120,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,667.28 : 320,274.92 = 80,489.94 : x
  2. Step 2: Convert to fraction form
    213,667.28/320,274.92 = 80,489.94/x
  3. Step 3: Cross multiply
    213,667.28x = 320,274.92 × 80,489.94
  4. Step 4: Simplify right side
    213,667.28x = 25,778,909,094.30
  5. Step 5: Solve for x
    x = 25,778,909,094.30/213,667.28
  6. Step 6: Final answer
    x = 120,649.77

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