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Finding the Fourth Proportional to 207,911.72, 311,959.74 and 76,553

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Solution

The fourth proportional to 207,911.72, 311,959.74 and 76,553 is: 114,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,911.72 : 311,959.74 = 76,553 : x
  2. Step 2: Convert to fraction form
    207,911.72/311,959.74 = 76,553/x
  3. Step 3: Cross multiply
    207,911.72x = 311,959.74 × 76,553
  4. Step 4: Simplify right side
    207,911.72x = 23,881,453,976.22
  5. Step 5: Solve for x
    x = 23,881,453,976.22/207,911.72
  6. Step 6: Final answer
    x = 114,863.43

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