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Finding the Fourth Proportional to 182,892.80, 274,557.90 and 102,994.40

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Solution

The fourth proportional to 182,892.80, 274,557.90 and 102,994.40 is: 154,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,892.80 : 274,557.90 = 102,994.40 : x
  2. Step 2: Convert to fraction form
    182,892.80/274,557.90 = 102,994.40/x
  3. Step 3: Cross multiply
    182,892.80x = 274,557.90 × 102,994.40
  4. Step 4: Simplify right side
    182,892.80x = 28,277,926,175.76
  5. Step 5: Solve for x
    x = 28,277,926,175.76/182,892.80
  6. Step 6: Final answer
    x = 154,614.76

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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.