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Finding the Fourth Proportional to 150,231.85, 207,322.43 and 82,247.69

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Solution

The fourth proportional to 150,231.85, 207,322.43 and 82,247.69 is: 113,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,231.85 : 207,322.43 = 82,247.69 : x
  2. Step 2: Convert to fraction form
    150,231.85/207,322.43 = 82,247.69/x
  3. Step 3: Cross multiply
    150,231.85x = 207,322.43 × 82,247.69
  4. Step 4: Simplify right side
    150,231.85x = 17,051,791,059.75
  5. Step 5: Solve for x
    x = 17,051,791,059.75/150,231.85
  6. Step 6: Final answer
    x = 113,503.17

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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.