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Finding the Fourth Proportional to 299,305.48, 448,826.10 and 112,185.76

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Solution

The fourth proportional to 299,305.48, 448,826.10 and 112,185.76 is: 168,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,305.48 : 448,826.10 = 112,185.76 : x
  2. Step 2: Convert to fraction form
    299,305.48/448,826.10 = 112,185.76/x
  3. Step 3: Cross multiply
    299,305.48x = 448,826.10 × 112,185.76
  4. Step 4: Simplify right side
    299,305.48x = 50,351,897,136.34
  5. Step 5: Solve for x
    x = 50,351,897,136.34/299,305.48
  6. Step 6: Final answer
    x = 168,229.12

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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.