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Finding the Fourth Proportional to 192,991.44, 289,484.40 and 86,347.20

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Solution

The fourth proportional to 192,991.44, 289,484.40 and 86,347.20 is: 129,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,991.44 : 289,484.40 = 86,347.20 : x
  2. Step 2: Convert to fraction form
    192,991.44/289,484.40 = 86,347.20/x
  3. Step 3: Cross multiply
    192,991.44x = 289,484.40 × 86,347.20
  4. Step 4: Simplify right side
    192,991.44x = 24,996,167,383.68
  5. Step 5: Solve for x
    x = 24,996,167,383.68/192,991.44
  6. Step 6: Final answer
    x = 129,519.57

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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.