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Finding the Fourth Proportional to 150,297.50, 207,410.55 and 83,229.50

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Solution

The fourth proportional to 150,297.50, 207,410.55 and 83,229.50 is: 114,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,297.50 : 207,410.55 = 83,229.50 : x
  2. Step 2: Convert to fraction form
    150,297.50/207,410.55 = 83,229.50/x
  3. Step 3: Cross multiply
    150,297.50x = 207,410.55 × 83,229.50
  4. Step 4: Simplify right side
    150,297.50x = 17,262,676,371.23
  5. Step 5: Solve for x
    x = 17,262,676,371.23/150,297.50
  6. Step 6: Final answer
    x = 114,856.71

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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.