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Finding the Fourth Proportional to 171,489.14, 257,307.52 and 82,809.02

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Solution

The fourth proportional to 171,489.14, 257,307.52 and 82,809.02 is: 124,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,489.14 : 257,307.52 = 82,809.02 : x
  2. Step 2: Convert to fraction form
    171,489.14/257,307.52 = 82,809.02/x
  3. Step 3: Cross multiply
    171,489.14x = 257,307.52 × 82,809.02
  4. Step 4: Simplify right side
    171,489.14x = 21,307,383,569.83
  5. Step 5: Solve for x
    x = 21,307,383,569.83/171,489.14
  6. Step 6: Final answer
    x = 124,249.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.