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Finding the Fourth Proportional to 203,092.48, 304,639.20 and 55,348.48

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Solution

The fourth proportional to 203,092.48, 304,639.20 and 55,348.48 is: 83,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,092.48 : 304,639.20 = 55,348.48 : x
  2. Step 2: Convert to fraction form
    203,092.48/304,639.20 = 55,348.48/x
  3. Step 3: Cross multiply
    203,092.48x = 304,639.20 × 55,348.48
  4. Step 4: Simplify right side
    203,092.48x = 16,861,316,668.42
  5. Step 5: Solve for x
    x = 16,861,316,668.42/203,092.48
  6. Step 6: Final answer
    x = 83,022.85

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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.