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Finding the Fourth Proportional to 166,896.84, 250,342.94 and 40,538

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Solution

The fourth proportional to 166,896.84, 250,342.94 and 40,538 is: 60,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,896.84 : 250,342.94 = 40,538 : x
  2. Step 2: Convert to fraction form
    166,896.84/250,342.94 = 40,538/x
  3. Step 3: Cross multiply
    166,896.84x = 250,342.94 × 40,538
  4. Step 4: Simplify right side
    166,896.84x = 10,148,402,101.72
  5. Step 5: Solve for x
    x = 10,148,402,101.72/166,896.84
  6. Step 6: Final answer
    x = 60,806.44

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Why These Related Problems?

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