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Finding the Fourth Proportional to 171,691.90, 257,558.51 and 82,883.00

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Solution

The fourth proportional to 171,691.90, 257,558.51 and 82,883.00 is: 124,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,691.90 : 257,558.51 = 82,883.00 : x
  2. Step 2: Convert to fraction form
    171,691.90/257,558.51 = 82,883.00/x
  3. Step 3: Cross multiply
    171,691.90x = 257,558.51 × 82,883.00
  4. Step 4: Simplify right side
    171,691.90x = 21,347,221,153.56
  5. Step 5: Solve for x
    x = 21,347,221,153.56/171,691.90
  6. Step 6: Final answer
    x = 124,334.47

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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.