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Finding the Fourth Proportional to 133,673, 200,509.50 and 40,178.84

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Solution

The fourth proportional to 133,673, 200,509.50 and 40,178.84 is: 60,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,673 : 200,509.50 = 40,178.84 : x
  2. Step 2: Convert to fraction form
    133,673/200,509.50 = 40,178.84/x
  3. Step 3: Cross multiply
    133,673x = 200,509.50 × 40,178.84
  4. Step 4: Simplify right side
    133,673x = 8,056,239,118.98
  5. Step 5: Solve for x
    x = 8,056,239,118.98/133,673
  6. Step 6: Final answer
    x = 60,268.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.