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Finding the Fourth Proportional to 150,229.50, 207,329.67 and 83,174.46

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Solution

The fourth proportional to 150,229.50, 207,329.67 and 83,174.46 is: 114,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,229.50 : 207,329.67 = 83,174.46 : x
  2. Step 2: Convert to fraction form
    150,229.50/207,329.67 = 83,174.46/x
  3. Step 3: Cross multiply
    150,229.50x = 207,329.67 × 83,174.46
  4. Step 4: Simplify right side
    150,229.50x = 17,244,533,344.23
  5. Step 5: Solve for x
    x = 17,244,533,344.23/150,229.50
  6. Step 6: Final answer
    x = 114,787.93

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