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Finding the Fourth Proportional to 164,282.38, 226,690.65 and 92,663.61

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Solution

The fourth proportional to 164,282.38, 226,690.65 and 92,663.61 is: 127,865.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,282.38 : 226,690.65 = 92,663.61 : x
  2. Step 2: Convert to fraction form
    164,282.38/226,690.65 = 92,663.61/x
  3. Step 3: Cross multiply
    164,282.38x = 226,690.65 × 92,663.61
  4. Step 4: Simplify right side
    164,282.38x = 21,005,973,982.25
  5. Step 5: Solve for x
    x = 21,005,973,982.25/164,282.38
  6. Step 6: Final answer
    x = 127,865.05

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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.