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Finding the Fourth Proportional to 343,794.56, 515,692 and 107,156.32

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Solution

The fourth proportional to 343,794.56, 515,692 and 107,156.32 is: 160,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,794.56 : 515,692 = 107,156.32 : x
  2. Step 2: Convert to fraction form
    343,794.56/515,692 = 107,156.32/x
  3. Step 3: Cross multiply
    343,794.56x = 515,692 × 107,156.32
  4. Step 4: Simplify right side
    343,794.56x = 55,259,656,973.44
  5. Step 5: Solve for x
    x = 55,259,656,973.44/343,794.56
  6. Step 6: Final answer
    x = 160,734.53

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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.