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Finding the Fourth Proportional to 164,129.92, 246,078.24 and 84,192

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Solution

The fourth proportional to 164,129.92, 246,078.24 and 84,192 is: 126,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,129.92 : 246,078.24 = 84,192 : x
  2. Step 2: Convert to fraction form
    164,129.92/246,078.24 = 84,192/x
  3. Step 3: Cross multiply
    164,129.92x = 246,078.24 × 84,192
  4. Step 4: Simplify right side
    164,129.92x = 20,717,819,182.08
  5. Step 5: Solve for x
    x = 20,717,819,182.08/164,129.92
  6. Step 6: Final answer
    x = 126,228.17

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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.