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Finding the Fourth Proportional to 203,897.70, 305,846.55 and 188,151.30

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Solution

The fourth proportional to 203,897.70, 305,846.55 and 188,151.30 is: 282,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,897.70 : 305,846.55 = 188,151.30 : x
  2. Step 2: Convert to fraction form
    203,897.70/305,846.55 = 188,151.30/x
  3. Step 3: Cross multiply
    203,897.70x = 305,846.55 × 188,151.30
  4. Step 4: Simplify right side
    203,897.70x = 57,545,425,983.02
  5. Step 5: Solve for x
    x = 57,545,425,983.02/203,897.70
  6. Step 6: Final answer
    x = 282,226.95

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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.