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Finding the Fourth Proportional to 164,409.92, 246,622.07 and 52,098.42

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Solution

The fourth proportional to 164,409.92, 246,622.07 and 52,098.42 is: 78,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,409.92 : 246,622.07 = 52,098.42 : x
  2. Step 2: Convert to fraction form
    164,409.92/246,622.07 = 52,098.42/x
  3. Step 3: Cross multiply
    164,409.92x = 246,622.07 × 52,098.42
  4. Step 4: Simplify right side
    164,409.92x = 12,848,619,923.64
  5. Step 5: Solve for x
    x = 12,848,619,923.64/164,409.92
  6. Step 6: Final answer
    x = 78,149.91

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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.