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Finding the Fourth Proportional to 182,878.88, 274,069.24 and 102,954.96

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Solution

The fourth proportional to 182,878.88, 274,069.24 and 102,954.96 is: 154,292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,878.88 : 274,069.24 = 102,954.96 : x
  2. Step 2: Convert to fraction form
    182,878.88/274,069.24 = 102,954.96/x
  3. Step 3: Cross multiply
    182,878.88x = 274,069.24 × 102,954.96
  4. Step 4: Simplify right side
    182,878.88x = 28,216,787,384.04
  5. Step 5: Solve for x
    x = 28,216,787,384.04/182,878.88
  6. Step 6: Final answer
    x = 154,292.22

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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.