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Finding the Fourth Proportional to 166,468.92, 229,743.05 and 98,507.49

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Solution

The fourth proportional to 166,468.92, 229,743.05 and 98,507.49 is: 135,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,468.92 : 229,743.05 = 98,507.49 : x
  2. Step 2: Convert to fraction form
    166,468.92/229,743.05 = 98,507.49/x
  3. Step 3: Cross multiply
    166,468.92x = 229,743.05 × 98,507.49
  4. Step 4: Simplify right side
    166,468.92x = 22,631,410,707.91
  5. Step 5: Solve for x
    x = 22,631,410,707.91/166,468.92
  6. Step 6: Final answer
    x = 135,949.77

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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.