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Finding the Fourth Proportional to 242,396.45, 363,473.00 and 141,227.24

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Solution

The fourth proportional to 242,396.45, 363,473.00 and 141,227.24 is: 211,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,396.45 : 363,473.00 = 141,227.24 : x
  2. Step 2: Convert to fraction form
    242,396.45/363,473.00 = 141,227.24/x
  3. Step 3: Cross multiply
    242,396.45x = 363,473.00 × 141,227.24
  4. Step 4: Simplify right side
    242,396.45x = 51,332,287,898.38
  5. Step 5: Solve for x
    x = 51,332,287,898.38/242,396.45
  6. Step 6: Final answer
    x = 211,769.97

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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.