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Finding the Fourth Proportional to 182,977.20, 274,465.80 and 154,108.80

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Solution

The fourth proportional to 182,977.20, 274,465.80 and 154,108.80 is: 231,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,977.20 : 274,465.80 = 154,108.80 : x
  2. Step 2: Convert to fraction form
    182,977.20/274,465.80 = 154,108.80/x
  3. Step 3: Cross multiply
    182,977.20x = 274,465.80 × 154,108.80
  4. Step 4: Simplify right side
    182,977.20x = 42,297,595,079.04
  5. Step 5: Solve for x
    x = 42,297,595,079.04/182,977.20
  6. Step 6: Final answer
    x = 231,163.20

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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.