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Finding the Fourth Proportional to 264,561.16, 396,726.92 and 96,025.48

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Solution

The fourth proportional to 264,561.16, 396,726.92 and 96,025.48 is: 143,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,561.16 : 396,726.92 = 96,025.48 : x
  2. Step 2: Convert to fraction form
    264,561.16/396,726.92 = 96,025.48/x
  3. Step 3: Cross multiply
    264,561.16x = 396,726.92 × 96,025.48
  4. Step 4: Simplify right side
    264,561.16x = 38,095,892,921.92
  5. Step 5: Solve for x
    x = 38,095,892,921.92/264,561.16
  6. Step 6: Final answer
    x = 143,996.54

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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.