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Finding the Fourth Proportional to 161,306.69, 241,954.56 and 61,463.30

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Solution

The fourth proportional to 161,306.69, 241,954.56 and 61,463.30 is: 92,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,306.69 : 241,954.56 = 61,463.30 : x
  2. Step 2: Convert to fraction form
    161,306.69/241,954.56 = 61,463.30/x
  3. Step 3: Cross multiply
    161,306.69x = 241,954.56 × 61,463.30
  4. Step 4: Simplify right side
    161,306.69x = 14,871,324,497.88
  5. Step 5: Solve for x
    x = 14,871,324,497.88/161,306.69
  6. Step 6: Final answer
    x = 92,192.86

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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.