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Finding the Fourth Proportional to 183,344.92, 275,095.82 and 76,753.78

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Solution

The fourth proportional to 183,344.92, 275,095.82 and 76,753.78 is: 115,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,344.92 : 275,095.82 = 76,753.78 : x
  2. Step 2: Convert to fraction form
    183,344.92/275,095.82 = 76,753.78/x
  3. Step 3: Cross multiply
    183,344.92x = 275,095.82 × 76,753.78
  4. Step 4: Simplify right side
    183,344.92x = 21,114,644,047.20
  5. Step 5: Solve for x
    x = 21,114,644,047.20/183,344.92
  6. Step 6: Final answer
    x = 115,163.51

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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.