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Finding the Fourth Proportional to 266,652.86, 399,979.31 and 106,801.38

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Solution

The fourth proportional to 266,652.86, 399,979.31 and 106,801.38 is: 160,202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,652.86 : 399,979.31 = 106,801.38 : x
  2. Step 2: Convert to fraction form
    266,652.86/399,979.31 = 106,801.38/x
  3. Step 3: Cross multiply
    266,652.86x = 399,979.31 × 106,801.38
  4. Step 4: Simplify right side
    266,652.86x = 42,718,341,745.44
  5. Step 5: Solve for x
    x = 42,718,341,745.44/266,652.86
  6. Step 6: Final answer
    x = 160,202.08

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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.