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Finding the Fourth Proportional to 214,794.76, 296,297.34 and 199,589.68

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Solution

The fourth proportional to 214,794.76, 296,297.34 and 199,589.68 is: 275,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,794.76 : 296,297.34 = 199,589.68 : x
  2. Step 2: Convert to fraction form
    214,794.76/296,297.34 = 199,589.68/x
  3. Step 3: Cross multiply
    214,794.76x = 296,297.34 × 199,589.68
  4. Step 4: Simplify right side
    214,794.76x = 59,137,891,275.45
  5. Step 5: Solve for x
    x = 59,137,891,275.45/214,794.76
  6. Step 6: Final answer
    x = 275,322.78

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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.