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Finding the Fourth Proportional to 164,247.64, 226,698.02 and 106,786.96

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Solution

The fourth proportional to 164,247.64, 226,698.02 and 106,786.96 is: 147,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,247.64 : 226,698.02 = 106,786.96 : x
  2. Step 2: Convert to fraction form
    164,247.64/226,698.02 = 106,786.96/x
  3. Step 3: Cross multiply
    164,247.64x = 226,698.02 × 106,786.96
  4. Step 4: Simplify right side
    164,247.64x = 24,208,392,393.82
  5. Step 5: Solve for x
    x = 24,208,392,393.82/164,247.64
  6. Step 6: Final answer
    x = 147,389.59

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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.