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Finding the Fourth Proportional to 133,047.40, 199,471.26 and 80,446.12

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Solution

The fourth proportional to 133,047.40, 199,471.26 and 80,446.12 is: 120,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,047.40 : 199,471.26 = 80,446.12 : x
  2. Step 2: Convert to fraction form
    133,047.40/199,471.26 = 80,446.12/x
  3. Step 3: Cross multiply
    133,047.40x = 199,471.26 × 80,446.12
  4. Step 4: Simplify right side
    133,047.40x = 16,046,688,918.51
  5. Step 5: Solve for x
    x = 16,046,688,918.51/133,047.40
  6. Step 6: Final answer
    x = 120,608.81

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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.