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Finding the Fourth Proportional to 299,441.77, 449,101.92 and 109,837.60

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Solution

The fourth proportional to 299,441.77, 449,101.92 and 109,837.60 is: 164,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,441.77 : 449,101.92 = 109,837.60 : x
  2. Step 2: Convert to fraction form
    299,441.77/449,101.92 = 109,837.60/x
  3. Step 3: Cross multiply
    299,441.77x = 449,101.92 × 109,837.60
  4. Step 4: Simplify right side
    299,441.77x = 49,328,277,048.19
  5. Step 5: Solve for x
    x = 49,328,277,048.19/299,441.77
  6. Step 6: Final answer
    x = 164,734.12

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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.