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Finding the Fourth Proportional to 171,886.64, 257,566.23 and 71,992.17

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Solution

The fourth proportional to 171,886.64, 257,566.23 and 71,992.17 is: 107,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,886.64 : 257,566.23 = 71,992.17 : x
  2. Step 2: Convert to fraction form
    171,886.64/257,566.23 = 71,992.17/x
  3. Step 3: Cross multiply
    171,886.64x = 257,566.23 × 71,992.17
  4. Step 4: Simplify right side
    171,886.64x = 18,542,751,816.42
  5. Step 5: Solve for x
    x = 18,542,751,816.42/171,886.64
  6. Step 6: Final answer
    x = 107,877.80

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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.