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Finding the Fourth Proportional to 275,868, 380,698.20 and 156,636

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Solution

The fourth proportional to 275,868, 380,698.20 and 156,636 is: 216,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,868 : 380,698.20 = 156,636 : x
  2. Step 2: Convert to fraction form
    275,868/380,698.20 = 156,636/x
  3. Step 3: Cross multiply
    275,868x = 380,698.20 × 156,636
  4. Step 4: Simplify right side
    275,868x = 59,631,043,255.20
  5. Step 5: Solve for x
    x = 59,631,043,255.20/275,868
  6. Step 6: Final answer
    x = 216,157.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.