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Finding the Fourth Proportional to 150,218.50, 207,299.82 and 82,234.66

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Solution

The fourth proportional to 150,218.50, 207,299.82 and 82,234.66 is: 113,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,218.50 : 207,299.82 = 82,234.66 : x
  2. Step 2: Convert to fraction form
    150,218.50/207,299.82 = 82,234.66/x
  3. Step 3: Cross multiply
    150,218.50x = 207,299.82 × 82,234.66
  4. Step 4: Simplify right side
    150,218.50x = 17,047,230,215.76
  5. Step 5: Solve for x
    x = 17,047,230,215.76/150,218.50
  6. Step 6: Final answer
    x = 113,482.89

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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.