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Finding the Fourth Proportional to 164,282.88, 226,691.34 and 92,664.11

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Solution

The fourth proportional to 164,282.88, 226,691.34 and 92,664.11 is: 127,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,282.88 : 226,691.34 = 92,664.11 : x
  2. Step 2: Convert to fraction form
    164,282.88/226,691.34 = 92,664.11/x
  3. Step 3: Cross multiply
    164,282.88x = 226,691.34 × 92,664.11
  4. Step 4: Simplify right side
    164,282.88x = 21,006,151,265.81
  5. Step 5: Solve for x
    x = 21,006,151,265.81/164,282.88
  6. Step 6: Final answer
    x = 127,865.74

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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.