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Finding the Fourth Proportional to 207,652, 311,516.92 and 96,844

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Solution

The fourth proportional to 207,652, 311,516.92 and 96,844 is: 145,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,652 : 311,516.92 = 96,844 : x
  2. Step 2: Convert to fraction form
    207,652/311,516.92 = 96,844/x
  3. Step 3: Cross multiply
    207,652x = 311,516.92 × 96,844
  4. Step 4: Simplify right side
    207,652x = 30,168,544,600.48
  5. Step 5: Solve for x
    x = 30,168,544,600.48/207,652
  6. Step 6: Final answer
    x = 145,284.15

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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.