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Finding the Fourth Proportional to 160,072.70, 239,942.19 and 60,164.06

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Solution

The fourth proportional to 160,072.70, 239,942.19 and 60,164.06 is: 90,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,072.70 : 239,942.19 = 60,164.06 : x
  2. Step 2: Convert to fraction form
    160,072.70/239,942.19 = 60,164.06/x
  3. Step 3: Cross multiply
    160,072.70x = 239,942.19 × 60,164.06
  4. Step 4: Simplify right side
    160,072.70x = 14,435,896,315.69
  5. Step 5: Solve for x
    x = 14,435,896,315.69/160,072.70
  6. Step 6: Final answer
    x = 90,183.37

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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.