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Finding the Fourth Proportional to 264,367.86, 396,415.71 and 106,553.94

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Solution

The fourth proportional to 264,367.86, 396,415.71 and 106,553.94 is: 159,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,367.86 : 396,415.71 = 106,553.94 : x
  2. Step 2: Convert to fraction form
    264,367.86/396,415.71 = 106,553.94/x
  3. Step 3: Cross multiply
    264,367.86x = 396,415.71 × 106,553.94
  4. Step 4: Simplify right side
    264,367.86x = 42,239,655,778.40
  5. Step 5: Solve for x
    x = 42,239,655,778.40/264,367.86
  6. Step 6: Final answer
    x = 159,776.06

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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.