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Finding the Fourth Proportional to 171,634.60, 257,524.80 and 82,842.40

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Solution

The fourth proportional to 171,634.60, 257,524.80 and 82,842.40 is: 124,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,634.60 : 257,524.80 = 82,842.40 : x
  2. Step 2: Convert to fraction form
    171,634.60/257,524.80 = 82,842.40/x
  3. Step 3: Cross multiply
    171,634.60x = 257,524.80 × 82,842.40
  4. Step 4: Simplify right side
    171,634.60x = 21,333,972,491.52
  5. Step 5: Solve for x
    x = 21,333,972,491.52/171,634.60
  6. Step 6: Final answer
    x = 124,298.79

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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.