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Finding the Fourth Proportional to 140,166, 193,446.90 and 92,518.56

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Solution

The fourth proportional to 140,166, 193,446.90 and 92,518.56 is: 127,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,166 : 193,446.90 = 92,518.56 : x
  2. Step 2: Convert to fraction form
    140,166/193,446.90 = 92,518.56/x
  3. Step 3: Cross multiply
    140,166x = 193,446.90 × 92,518.56
  4. Step 4: Simplify right side
    140,166x = 17,897,428,624.46
  5. Step 5: Solve for x
    x = 17,897,428,624.46/140,166
  6. Step 6: Final answer
    x = 127,687.38

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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.