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Finding the Fourth Proportional to 299,506.60, 448,676.70 and 166,148.20

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Solution

The fourth proportional to 299,506.60, 448,676.70 and 166,148.20 is: 248,898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,506.60 : 448,676.70 = 166,148.20 : x
  2. Step 2: Convert to fraction form
    299,506.60/448,676.70 = 166,148.20/x
  3. Step 3: Cross multiply
    299,506.60x = 448,676.70 × 166,148.20
  4. Step 4: Simplify right side
    299,506.60x = 74,546,826,086.94
  5. Step 5: Solve for x
    x = 74,546,826,086.94/299,506.60
  6. Step 6: Final answer
    x = 248,898.78

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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.