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Finding the Fourth Proportional to 277,190.16, 415,742.04 and 90,200.40

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Solution

The fourth proportional to 277,190.16, 415,742.04 and 90,200.40 is: 135,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,190.16 : 415,742.04 = 90,200.40 : x
  2. Step 2: Convert to fraction form
    277,190.16/415,742.04 = 90,200.40/x
  3. Step 3: Cross multiply
    277,190.16x = 415,742.04 × 90,200.40
  4. Step 4: Simplify right side
    277,190.16x = 37,500,098,304.82
  5. Step 5: Solve for x
    x = 37,500,098,304.82/277,190.16
  6. Step 6: Final answer
    x = 135,286.54

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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.