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Finding the Fourth Proportional to 217,838.08, 300,593.92 and 146,203.52

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Solution

The fourth proportional to 217,838.08, 300,593.92 and 146,203.52 is: 201,745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,838.08 : 300,593.92 = 146,203.52 : x
  2. Step 2: Convert to fraction form
    217,838.08/300,593.92 = 146,203.52/x
  3. Step 3: Cross multiply
    217,838.08x = 300,593.92 × 146,203.52
  4. Step 4: Simplify right side
    217,838.08x = 43,947,889,194.60
  5. Step 5: Solve for x
    x = 43,947,889,194.60/217,838.08
  6. Step 6: Final answer
    x = 201,745.67

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