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Finding the Fourth Proportional to 203,894.70, 305,842.05 and 161,904.30

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Solution

The fourth proportional to 203,894.70, 305,842.05 and 161,904.30 is: 242,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,894.70 : 305,842.05 = 161,904.30 : x
  2. Step 2: Convert to fraction form
    203,894.70/305,842.05 = 161,904.30/x
  3. Step 3: Cross multiply
    203,894.70x = 305,842.05 × 161,904.30
  4. Step 4: Simplify right side
    203,894.70x = 49,517,143,015.82
  5. Step 5: Solve for x
    x = 49,517,143,015.82/203,894.70
  6. Step 6: Final answer
    x = 242,856.45

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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.