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Finding the Fourth Proportional to 164,438.70, 246,658.05 and 149,664.30

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Solution

The fourth proportional to 164,438.70, 246,658.05 and 149,664.30 is: 224,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,438.70 : 246,658.05 = 149,664.30 : x
  2. Step 2: Convert to fraction form
    164,438.70/246,658.05 = 149,664.30/x
  3. Step 3: Cross multiply
    164,438.70x = 246,658.05 × 149,664.30
  4. Step 4: Simplify right side
    164,438.70x = 36,915,904,392.62
  5. Step 5: Solve for x
    x = 36,915,904,392.62/164,438.70
  6. Step 6: Final answer
    x = 224,496.45

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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.