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Finding the Fourth Proportional to 164,296.68, 226,723.84 and 92,674

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Solution

The fourth proportional to 164,296.68, 226,723.84 and 92,674 is: 127,886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,296.68 : 226,723.84 = 92,674 : x
  2. Step 2: Convert to fraction form
    164,296.68/226,723.84 = 92,674/x
  3. Step 3: Cross multiply
    164,296.68x = 226,723.84 × 92,674
  4. Step 4: Simplify right side
    164,296.68x = 21,011,405,148.16
  5. Step 5: Solve for x
    x = 21,011,405,148.16/164,296.68
  6. Step 6: Final answer
    x = 127,886.97

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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.