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Finding the Fourth Proportional to 213,412.44, 320,204.72 and 95,002.80

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Solution

The fourth proportional to 213,412.44, 320,204.72 and 95,002.80 is: 142,542.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,412.44 : 320,204.72 = 95,002.80 : x
  2. Step 2: Convert to fraction form
    213,412.44/320,204.72 = 95,002.80/x
  3. Step 3: Cross multiply
    213,412.44x = 320,204.72 × 95,002.80
  4. Step 4: Simplify right side
    213,412.44x = 30,420,344,973.22
  5. Step 5: Solve for x
    x = 30,420,344,973.22/213,412.44
  6. Step 6: Final answer
    x = 142,542.51

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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.