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Finding the Fourth Proportional to 164,729.46, 227,306.34 and 116,965.38

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Solution

The fourth proportional to 164,729.46, 227,306.34 and 116,965.38 is: 161,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,729.46 : 227,306.34 = 116,965.38 : x
  2. Step 2: Convert to fraction form
    164,729.46/227,306.34 = 116,965.38/x
  3. Step 3: Cross multiply
    164,729.46x = 227,306.34 × 116,965.38
  4. Step 4: Simplify right side
    164,729.46x = 26,586,972,434.51
  5. Step 5: Solve for x
    x = 26,586,972,434.51/164,729.46
  6. Step 6: Final answer
    x = 161,397.80

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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.