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Finding the Fourth Proportional to 134,857, 202,295.22 and 51,751

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Solution

The fourth proportional to 134,857, 202,295.22 and 51,751 is: 77,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,857 : 202,295.22 = 51,751 : x
  2. Step 2: Convert to fraction form
    134,857/202,295.22 = 51,751/x
  3. Step 3: Cross multiply
    134,857x = 202,295.22 × 51,751
  4. Step 4: Simplify right side
    134,857x = 10,468,979,930.22
  5. Step 5: Solve for x
    x = 10,468,979,930.22/134,857
  6. Step 6: Final answer
    x = 77,630.23

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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.