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Finding the Fourth Proportional to 150,632.41, 207,865.70 and 82,647.85

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Solution

The fourth proportional to 150,632.41, 207,865.70 and 82,647.85 is: 114,050.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,632.41 : 207,865.70 = 82,647.85 : x
  2. Step 2: Convert to fraction form
    150,632.41/207,865.70 = 82,647.85/x
  3. Step 3: Cross multiply
    150,632.41x = 207,865.70 × 82,647.85
  4. Step 4: Simplify right side
    150,632.41x = 17,179,653,193.75
  5. Step 5: Solve for x
    x = 17,179,653,193.75/150,632.41
  6. Step 6: Final answer
    x = 114,050.18

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Why These Related Problems?

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