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Finding the Fourth Proportional to 74,194.73, 111,200.76 and 42,200.64

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Solution

The fourth proportional to 74,194.73, 111,200.76 and 42,200.64 is: 63,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,194.73 : 111,200.76 = 42,200.64 : x
  2. Step 2: Convert to fraction form
    74,194.73/111,200.76 = 42,200.64/x
  3. Step 3: Cross multiply
    74,194.73x = 111,200.76 × 42,200.64
  4. Step 4: Simplify right side
    74,194.73x = 4,692,743,240.49
  5. Step 5: Solve for x
    x = 4,692,743,240.49/74,194.73
  6. Step 6: Final answer
    x = 63,249.01

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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.