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Finding the Fourth Proportional to 299,385.12, 413,151.84 and 165,249.12

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Solution

The fourth proportional to 299,385.12, 413,151.84 and 165,249.12 is: 228,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,385.12 : 413,151.84 = 165,249.12 : x
  2. Step 2: Convert to fraction form
    299,385.12/413,151.84 = 165,249.12/x
  3. Step 3: Cross multiply
    299,385.12x = 413,151.84 × 165,249.12
  4. Step 4: Simplify right side
    299,385.12x = 68,272,977,986.38
  5. Step 5: Solve for x
    x = 68,272,977,986.38/299,385.12
  6. Step 6: Final answer
    x = 228,043.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.