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Finding the Fourth Proportional to 183,497.76, 275,233.28 and 82,327.14

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Solution

The fourth proportional to 183,497.76, 275,233.28 and 82,327.14 is: 123,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,497.76 : 275,233.28 = 82,327.14 : x
  2. Step 2: Convert to fraction form
    183,497.76/275,233.28 = 82,327.14/x
  3. Step 3: Cross multiply
    183,497.76x = 275,233.28 × 82,327.14
  4. Step 4: Simplify right side
    183,497.76x = 22,659,168,363.58
  5. Step 5: Solve for x
    x = 22,659,168,363.58/183,497.76
  6. Step 6: Final answer
    x = 123,484.71

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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.