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Finding the Fourth Proportional to 133,961.94, 200,947.77 and 40,468.50

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Solution

The fourth proportional to 133,961.94, 200,947.77 and 40,468.50 is: 60,704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,961.94 : 200,947.77 = 40,468.50 : x
  2. Step 2: Convert to fraction form
    133,961.94/200,947.77 = 40,468.50/x
  3. Step 3: Cross multiply
    133,961.94x = 200,947.77 × 40,468.50
  4. Step 4: Simplify right side
    133,961.94x = 8,132,054,830.25
  5. Step 5: Solve for x
    x = 8,132,054,830.25/133,961.94
  6. Step 6: Final answer
    x = 60,704.22

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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.