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Finding the Fourth Proportional to 227,640.80, 341,768.40 and 144,696.80

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Solution

The fourth proportional to 227,640.80, 341,768.40 and 144,696.80 is: 217,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,640.80 : 341,768.40 = 144,696.80 : x
  2. Step 2: Convert to fraction form
    227,640.80/341,768.40 = 144,696.80/x
  3. Step 3: Cross multiply
    227,640.80x = 341,768.40 × 144,696.80
  4. Step 4: Simplify right side
    227,640.80x = 49,452,793,821.12
  5. Step 5: Solve for x
    x = 49,452,793,821.12/227,640.80
  6. Step 6: Final answer
    x = 217,240.47

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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.