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Finding the Fourth Proportional to 277,200, 415,825.92 and 90,161.28

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Solution

The fourth proportional to 277,200, 415,825.92 and 90,161.28 is: 135,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,200 : 415,825.92 = 90,161.28 : x
  2. Step 2: Convert to fraction form
    277,200/415,825.92 = 90,161.28/x
  3. Step 3: Cross multiply
    277,200x = 415,825.92 × 90,161.28
  4. Step 4: Simplify right side
    277,200x = 37,491,397,204.38
  5. Step 5: Solve for x
    x = 37,491,397,204.38/277,200
  6. Step 6: Final answer
    x = 135,250.35

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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.