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Finding the Fourth Proportional to 166,344.65, 229,550.14 and 105,123.56

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Solution

The fourth proportional to 166,344.65, 229,550.14 and 105,123.56 is: 145,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,344.65 : 229,550.14 = 105,123.56 : x
  2. Step 2: Convert to fraction form
    166,344.65/229,550.14 = 105,123.56/x
  3. Step 3: Cross multiply
    166,344.65x = 229,550.14 × 105,123.56
  4. Step 4: Simplify right side
    166,344.65x = 24,131,127,915.30
  5. Step 5: Solve for x
    x = 24,131,127,915.30/166,344.65
  6. Step 6: Final answer
    x = 145,067.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.