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Finding the Fourth Proportional to 299,348.34, 449,081.67 and 109,810.47

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Solution

The fourth proportional to 299,348.34, 449,081.67 and 109,810.47 is: 164,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,348.34 : 449,081.67 = 109,810.47 : x
  2. Step 2: Convert to fraction form
    299,348.34/449,081.67 = 109,810.47/x
  3. Step 3: Cross multiply
    299,348.34x = 449,081.67 × 109,810.47
  4. Step 4: Simplify right side
    299,348.34x = 49,313,869,251.08
  5. Step 5: Solve for x
    x = 49,313,869,251.08/299,348.34
  6. Step 6: Final answer
    x = 164,737.41

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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.