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Finding the Fourth Proportional to 275,797.30, 413,401.65 and 157,213.30

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Solution

The fourth proportional to 275,797.30, 413,401.65 and 157,213.30 is: 235,652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,797.30 : 413,401.65 = 157,213.30 : x
  2. Step 2: Convert to fraction form
    275,797.30/413,401.65 = 157,213.30/x
  3. Step 3: Cross multiply
    275,797.30x = 413,401.65 × 157,213.30
  4. Step 4: Simplify right side
    275,797.30x = 64,992,237,621.95
  5. Step 5: Solve for x
    x = 64,992,237,621.95/275,797.30
  6. Step 6: Final answer
    x = 235,652.19

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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.