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Finding the Fourth Proportional to 203,593.92, 305,468.64 and 114,947.52

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Solution

The fourth proportional to 203,593.92, 305,468.64 and 114,947.52 is: 172,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,593.92 : 305,468.64 = 114,947.52 : x
  2. Step 2: Convert to fraction form
    203,593.92/305,468.64 = 114,947.52/x
  3. Step 3: Cross multiply
    203,593.92x = 305,468.64 × 114,947.52
  4. Step 4: Simplify right side
    203,593.92x = 35,112,862,605.77
  5. Step 5: Solve for x
    x = 35,112,862,605.77/203,593.92
  6. Step 6: Final answer
    x = 172,465.18

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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.