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Finding the Fourth Proportional to 183,728.85, 275,453.10 and 83,819.18

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Solution

The fourth proportional to 183,728.85, 275,453.10 and 83,819.18 is: 125,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,728.85 : 275,453.10 = 83,819.18 : x
  2. Step 2: Convert to fraction form
    183,728.85/275,453.10 = 83,819.18/x
  3. Step 3: Cross multiply
    183,728.85x = 275,453.10 × 83,819.18
  4. Step 4: Simplify right side
    183,728.85x = 23,088,251,593.19
  5. Step 5: Solve for x
    x = 23,088,251,593.19/183,728.85
  6. Step 6: Final answer
    x = 125,664.81

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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.