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Finding the Fourth Proportional to 170,924.53, 256,442.15 and 82,166.50

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Solution

The fourth proportional to 170,924.53, 256,442.15 and 82,166.50 is: 123,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,924.53 : 256,442.15 = 82,166.50 : x
  2. Step 2: Convert to fraction form
    170,924.53/256,442.15 = 82,166.50/x
  3. Step 3: Cross multiply
    170,924.53x = 256,442.15 × 82,166.50
  4. Step 4: Simplify right side
    170,924.53x = 21,070,954,443.94
  5. Step 5: Solve for x
    x = 21,070,954,443.94/170,924.53
  6. Step 6: Final answer
    x = 123,276.36

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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.