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Finding the Fourth Proportional to 204,297.50, 281,930.56 and 114,873.50

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Solution

The fourth proportional to 204,297.50, 281,930.56 and 114,873.50 is: 158,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,297.50 : 281,930.56 = 114,873.50 : x
  2. Step 2: Convert to fraction form
    204,297.50/281,930.56 = 114,873.50/x
  3. Step 3: Cross multiply
    204,297.50x = 281,930.56 × 114,873.50
  4. Step 4: Simplify right side
    204,297.50x = 32,386,350,184.16
  5. Step 5: Solve for x
    x = 32,386,350,184.16/204,297.50
  6. Step 6: Final answer
    x = 158,525.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.