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Finding the Fourth Proportional to 150,286.50, 207,401.94 and 83,218.50

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Solution

The fourth proportional to 150,286.50, 207,401.94 and 83,218.50 is: 114,845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,286.50 : 207,401.94 = 83,218.50 : x
  2. Step 2: Convert to fraction form
    150,286.50/207,401.94 = 83,218.50/x
  3. Step 3: Cross multiply
    150,286.50x = 207,401.94 × 83,218.50
  4. Step 4: Simplify right side
    150,286.50x = 17,259,678,343.89
  5. Step 5: Solve for x
    x = 17,259,678,343.89/150,286.50
  6. Step 6: Final answer
    x = 114,845.17

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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.