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Finding the Fourth Proportional to 264,227.22, 396,382.16 and 86,693.86

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Solution

The fourth proportional to 264,227.22, 396,382.16 and 86,693.86 is: 130,054.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,227.22 : 396,382.16 = 86,693.86 : x
  2. Step 2: Convert to fraction form
    264,227.22/396,382.16 = 86,693.86/x
  3. Step 3: Cross multiply
    264,227.22x = 396,382.16 × 86,693.86
  4. Step 4: Simplify right side
    264,227.22x = 34,363,899,485.54
  5. Step 5: Solve for x
    x = 34,363,899,485.54/264,227.22
  6. Step 6: Final answer
    x = 130,054.35

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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.