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Finding the Fourth Proportional to 277,204, 415,831.92 and 90,165.28

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Solution

The fourth proportional to 277,204, 415,831.92 and 90,165.28 is: 135,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,204 : 415,831.92 = 90,165.28 : x
  2. Step 2: Convert to fraction form
    277,204/415,831.92 = 90,165.28/x
  3. Step 3: Cross multiply
    277,204x = 415,831.92 × 90,165.28
  4. Step 4: Simplify right side
    277,204x = 37,493,601,499.74
  5. Step 5: Solve for x
    x = 37,493,601,499.74/277,204
  6. Step 6: Final answer
    x = 135,256.35

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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.