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Finding the Fourth Proportional to 207,544.44, 311,442.66 and 82,875

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Solution

The fourth proportional to 207,544.44, 311,442.66 and 82,875 is: 124,362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,544.44 : 311,442.66 = 82,875 : x
  2. Step 2: Convert to fraction form
    207,544.44/311,442.66 = 82,875/x
  3. Step 3: Cross multiply
    207,544.44x = 311,442.66 × 82,875
  4. Step 4: Simplify right side
    207,544.44x = 25,810,810,447.50
  5. Step 5: Solve for x
    x = 25,810,810,447.50/207,544.44
  6. Step 6: Final answer
    x = 124,362.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.