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Finding the Fourth Proportional to 269,108.76, 403,682.76 and 109,107.84

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Solution

The fourth proportional to 269,108.76, 403,682.76 and 109,107.84 is: 163,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,108.76 : 403,682.76 = 109,107.84 : x
  2. Step 2: Convert to fraction form
    269,108.76/403,682.76 = 109,107.84/x
  3. Step 3: Cross multiply
    269,108.76x = 403,682.76 × 109,107.84
  4. Step 4: Simplify right side
    269,108.76x = 44,044,953,988.84
  5. Step 5: Solve for x
    x = 44,044,953,988.84/269,108.76
  6. Step 6: Final answer
    x = 163,669.71

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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.