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Finding the Fourth Proportional to 171,896.30, 257,844.45 and 72,023.30

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Solution

The fourth proportional to 171,896.30, 257,844.45 and 72,023.30 is: 108,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,896.30 : 257,844.45 = 72,023.30 : x
  2. Step 2: Convert to fraction form
    171,896.30/257,844.45 = 72,023.30/x
  3. Step 3: Cross multiply
    171,896.30x = 257,844.45 × 72,023.30
  4. Step 4: Simplify right side
    171,896.30x = 18,570,808,175.69
  5. Step 5: Solve for x
    x = 18,570,808,175.69/171,896.30
  6. Step 6: Final answer
    x = 108,034.95

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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.