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Finding the Fourth Proportional to 133,050, 199,469.04 and 76,826.40

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Solution

The fourth proportional to 133,050, 199,469.04 and 76,826.40 is: 115,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,050 : 199,469.04 = 76,826.40 : x
  2. Step 2: Convert to fraction form
    133,050/199,469.04 = 76,826.40/x
  3. Step 3: Cross multiply
    133,050x = 199,469.04 × 76,826.40
  4. Step 4: Simplify right side
    133,050x = 15,324,488,254.66
  5. Step 5: Solve for x
    x = 15,324,488,254.66/133,050
  6. Step 6: Final answer
    x = 115,178.42

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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.