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Finding the Fourth Proportional to 165,906.70, 248,860.05 and 102,777.10

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Solution

The fourth proportional to 165,906.70, 248,860.05 and 102,777.10 is: 154,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,906.70 : 248,860.05 = 102,777.10 : x
  2. Step 2: Convert to fraction form
    165,906.70/248,860.05 = 102,777.10/x
  3. Step 3: Cross multiply
    165,906.70x = 248,860.05 × 102,777.10
  4. Step 4: Simplify right side
    165,906.70x = 25,577,114,244.86
  5. Step 5: Solve for x
    x = 25,577,114,244.86/165,906.70
  6. Step 6: Final answer
    x = 154,165.65

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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.