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Finding the Fourth Proportional to 171,885.68, 237,201.24 and 96,434

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Solution

The fourth proportional to 171,885.68, 237,201.24 and 96,434 is: 133,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,885.68 : 237,201.24 = 96,434 : x
  2. Step 2: Convert to fraction form
    171,885.68/237,201.24 = 96,434/x
  3. Step 3: Cross multiply
    171,885.68x = 237,201.24 × 96,434
  4. Step 4: Simplify right side
    171,885.68x = 22,874,264,378.16
  5. Step 5: Solve for x
    x = 22,874,264,378.16/171,885.68
  6. Step 6: Final answer
    x = 133,078.36

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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.