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Finding the Fourth Proportional to 277,201, 415,827.42 and 90,162.28

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Solution

The fourth proportional to 277,201, 415,827.42 and 90,162.28 is: 135,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,201 : 415,827.42 = 90,162.28 : x
  2. Step 2: Convert to fraction form
    277,201/415,827.42 = 90,162.28/x
  3. Step 3: Cross multiply
    277,201x = 415,827.42 × 90,162.28
  4. Step 4: Simplify right side
    277,201x = 37,491,948,273.72
  5. Step 5: Solve for x
    x = 37,491,948,273.72/277,201
  6. Step 6: Final answer
    x = 135,251.85

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1.5x scale

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.