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Finding the Fourth Proportional to 277,201.90, 415,804.24 and 77,523.04

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Solution

The fourth proportional to 277,201.90, 415,804.24 and 77,523.04 is: 116,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,201.90 : 415,804.24 = 77,523.04 : x
  2. Step 2: Convert to fraction form
    277,201.90/415,804.24 = 77,523.04/x
  3. Step 3: Cross multiply
    277,201.90x = 415,804.24 × 77,523.04
  4. Step 4: Simplify right side
    277,201.90x = 32,234,408,729.69
  5. Step 5: Solve for x
    x = 32,234,408,729.69/277,201.90
  6. Step 6: Final answer
    x = 116,284.95

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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.