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Finding the Fourth Proportional to 264,069.10, 396,131.46 and 77,081.14

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Solution

The fourth proportional to 264,069.10, 396,131.46 and 77,081.14 is: 115,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,069.10 : 396,131.46 = 77,081.14 : x
  2. Step 2: Convert to fraction form
    264,069.10/396,131.46 = 77,081.14/x
  3. Step 3: Cross multiply
    264,069.10x = 396,131.46 × 77,081.14
  4. Step 4: Simplify right side
    264,069.10x = 30,534,264,526.66
  5. Step 5: Solve for x
    x = 30,534,264,526.66/264,069.10
  6. Step 6: Final answer
    x = 115,629.83

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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.