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Finding the Fourth Proportional to 295,113.56, 407,257.98 and 160,980.44

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Solution

The fourth proportional to 295,113.56, 407,257.98 and 160,980.44 is: 222,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,113.56 : 407,257.98 = 160,980.44 : x
  2. Step 2: Convert to fraction form
    295,113.56/407,257.98 = 160,980.44/x
  3. Step 3: Cross multiply
    295,113.56x = 407,257.98 × 160,980.44
  4. Step 4: Simplify right side
    295,113.56x = 65,560,568,813.91
  5. Step 5: Solve for x
    x = 65,560,568,813.91/295,113.56
  6. Step 6: Final answer
    x = 222,153.70

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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.