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Finding the Fourth Proportional to 166,965.50, 250,462.83 and 42,306.50

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Solution

The fourth proportional to 166,965.50, 250,462.83 and 42,306.50 is: 63,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,965.50 : 250,462.83 = 42,306.50 : x
  2. Step 2: Convert to fraction form
    166,965.50/250,462.83 = 42,306.50/x
  3. Step 3: Cross multiply
    166,965.50x = 250,462.83 × 42,306.50
  4. Step 4: Simplify right side
    166,965.50x = 10,596,205,717.40
  5. Step 5: Solve for x
    x = 10,596,205,717.40/166,965.50
  6. Step 6: Final answer
    x = 63,463.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.