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Finding the Fourth Proportional to 203,745.32, 305,548.74 and 70,594.49

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Solution

The fourth proportional to 203,745.32, 305,548.74 and 70,594.49 is: 105,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,745.32 : 305,548.74 = 70,594.49 : x
  2. Step 2: Convert to fraction form
    203,745.32/305,548.74 = 70,594.49/x
  3. Step 3: Cross multiply
    203,745.32x = 305,548.74 × 70,594.49
  4. Step 4: Simplify right side
    203,745.32x = 21,570,057,470.44
  5. Step 5: Solve for x
    x = 21,570,057,470.44/203,745.32
  6. Step 6: Final answer
    x = 105,867.74

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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.