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Finding the Fourth Proportional to 277,432.36, 382,856.63 and 150,107.96

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Solution

The fourth proportional to 277,432.36, 382,856.63 and 150,107.96 is: 207,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,432.36 : 382,856.63 = 150,107.96 : x
  2. Step 2: Convert to fraction form
    277,432.36/382,856.63 = 150,107.96/x
  3. Step 3: Cross multiply
    277,432.36x = 382,856.63 × 150,107.96
  4. Step 4: Simplify right side
    277,432.36x = 57,469,827,908.38
  5. Step 5: Solve for x
    x = 57,469,827,908.38/277,432.36
  6. Step 6: Final answer
    x = 207,148.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.