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Finding the Fourth Proportional to 148,490.57, 204,914.48 and 83,958.81

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Solution

The fourth proportional to 148,490.57, 204,914.48 and 83,958.81 is: 115,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,490.57 : 204,914.48 = 83,958.81 : x
  2. Step 2: Convert to fraction form
    148,490.57/204,914.48 = 83,958.81/x
  3. Step 3: Cross multiply
    148,490.57x = 204,914.48 × 83,958.81
  4. Step 4: Simplify right side
    148,490.57x = 17,204,375,856.99
  5. Step 5: Solve for x
    x = 17,204,375,856.99/148,490.57
  6. Step 6: Final answer
    x = 115,861.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.