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Finding the Fourth Proportional to 133,209.75, 199,893.44 and 49,029.04

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Solution

The fourth proportional to 133,209.75, 199,893.44 and 49,029.04 is: 73,572.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,209.75 : 199,893.44 = 49,029.04 : x
  2. Step 2: Convert to fraction form
    133,209.75/199,893.44 = 49,029.04/x
  3. Step 3: Cross multiply
    133,209.75x = 199,893.44 × 49,029.04
  4. Step 4: Simplify right side
    133,209.75x = 9,800,583,465.50
  5. Step 5: Solve for x
    x = 9,800,583,465.50/133,209.75
  6. Step 6: Final answer
    x = 73,572.57

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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.