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Finding the Fourth Proportional to 133,115.99, 199,770.33 and 52,074.97

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Solution

The fourth proportional to 133,115.99, 199,770.33 and 52,074.97 is: 78,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,115.99 : 199,770.33 = 52,074.97 : x
  2. Step 2: Convert to fraction form
    133,115.99/199,770.33 = 52,074.97/x
  3. Step 3: Cross multiply
    133,115.99x = 199,770.33 × 52,074.97
  4. Step 4: Simplify right side
    133,115.99x = 10,403,034,386.63
  5. Step 5: Solve for x
    x = 10,403,034,386.63/133,115.99
  6. Step 6: Final answer
    x = 78,150.15

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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.