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Finding the Fourth Proportional to 164,116.64, 246,174.96 and 126,731.24

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Solution

The fourth proportional to 164,116.64, 246,174.96 and 126,731.24 is: 190,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,116.64 : 246,174.96 = 126,731.24 : x
  2. Step 2: Convert to fraction form
    164,116.64/246,174.96 = 126,731.24/x
  3. Step 3: Cross multiply
    164,116.64x = 246,174.96 × 126,731.24
  4. Step 4: Simplify right side
    164,116.64x = 31,198,057,937.75
  5. Step 5: Solve for x
    x = 31,198,057,937.75/164,116.64
  6. Step 6: Final answer
    x = 190,096.86

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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.