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Finding the Fourth Proportional to 164,285.29, 226,709.61 and 92,659.66

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Solution

The fourth proportional to 164,285.29, 226,709.61 and 92,659.66 is: 127,868.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,285.29 : 226,709.61 = 92,659.66 : x
  2. Step 2: Convert to fraction form
    164,285.29/226,709.61 = 92,659.66/x
  3. Step 3: Cross multiply
    164,285.29x = 226,709.61 × 92,659.66
  4. Step 4: Simplify right side
    164,285.29x = 21,006,835,381.33
  5. Step 5: Solve for x
    x = 21,006,835,381.33/164,285.29
  6. Step 6: Final answer
    x = 127,868.02

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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.