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Finding the Fourth Proportional to 347,198.10, 520,797.15 and 160,107.54

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Solution

The fourth proportional to 347,198.10, 520,797.15 and 160,107.54 is: 240,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,198.10 : 520,797.15 = 160,107.54 : x
  2. Step 2: Convert to fraction form
    347,198.10/520,797.15 = 160,107.54/x
  3. Step 3: Cross multiply
    347,198.10x = 520,797.15 × 160,107.54
  4. Step 4: Simplify right side
    347,198.10x = 83,383,550,525.51
  5. Step 5: Solve for x
    x = 83,383,550,525.51/347,198.10
  6. Step 6: Final answer
    x = 240,161.31

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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.