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Finding the Fourth Proportional to 133,232.70, 199,849.05 and 71,024.70

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Solution

The fourth proportional to 133,232.70, 199,849.05 and 71,024.70 is: 106,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,232.70 : 199,849.05 = 71,024.70 : x
  2. Step 2: Convert to fraction form
    133,232.70/199,849.05 = 71,024.70/x
  3. Step 3: Cross multiply
    133,232.70x = 199,849.05 × 71,024.70
  4. Step 4: Simplify right side
    133,232.70x = 14,194,218,821.54
  5. Step 5: Solve for x
    x = 14,194,218,821.54/133,232.70
  6. Step 6: Final answer
    x = 106,537.05

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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.