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Finding the Fourth Proportional to 266,045.72, 399,093.16 and 106,083.04

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Solution

The fourth proportional to 266,045.72, 399,093.16 and 106,083.04 is: 159,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,045.72 : 399,093.16 = 106,083.04 : x
  2. Step 2: Convert to fraction form
    266,045.72/399,093.16 = 106,083.04/x
  3. Step 3: Cross multiply
    266,045.72x = 399,093.16 × 106,083.04
  4. Step 4: Simplify right side
    266,045.72x = 42,337,015,656.01
  5. Step 5: Solve for x
    x = 42,337,015,656.01/266,045.72
  6. Step 6: Final answer
    x = 159,134.36

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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.