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Finding the Fourth Proportional to 133,539, 200,020.53 and 125,687.67

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Solution

The fourth proportional to 133,539, 200,020.53 and 125,687.67 is: 188,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,539 : 200,020.53 = 125,687.67 : x
  2. Step 2: Convert to fraction form
    133,539/200,020.53 = 125,687.67/x
  3. Step 3: Cross multiply
    133,539x = 200,020.53 × 125,687.67
  4. Step 4: Simplify right side
    133,539x = 25,140,114,367.87
  5. Step 5: Solve for x
    x = 25,140,114,367.87/133,539
  6. Step 6: Final answer
    x = 188,260.47

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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.