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Finding the Fourth Proportional to 171,697.80, 257,364.45 and 82,893.45

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Solution

The fourth proportional to 171,697.80, 257,364.45 and 82,893.45 is: 124,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,697.80 : 257,364.45 = 82,893.45 : x
  2. Step 2: Convert to fraction form
    171,697.80/257,364.45 = 82,893.45/x
  3. Step 3: Cross multiply
    171,697.80x = 257,364.45 × 82,893.45
  4. Step 4: Simplify right side
    171,697.80x = 21,333,827,167.85
  5. Step 5: Solve for x
    x = 21,333,827,167.85/171,697.80
  6. Step 6: Final answer
    x = 124,252.19

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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.