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Finding the Fourth Proportional to 277,639.20, 416,335.68 and 127,843.20

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Solution

The fourth proportional to 277,639.20, 416,335.68 and 127,843.20 is: 191,708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,639.20 : 416,335.68 = 127,843.20 : x
  2. Step 2: Convert to fraction form
    277,639.20/416,335.68 = 127,843.20/x
  3. Step 3: Cross multiply
    277,639.20x = 416,335.68 × 127,843.20
  4. Step 4: Simplify right side
    277,639.20x = 53,225,685,605.38
  5. Step 5: Solve for x
    x = 53,225,685,605.38/277,639.20
  6. Step 6: Final answer
    x = 191,708.11

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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.