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Finding the Fourth Proportional to 343,255.80, 514,922.10 and 106,596.60

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Solution

The fourth proportional to 343,255.80, 514,922.10 and 106,596.60 is: 159,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,255.80 : 514,922.10 = 106,596.60 : x
  2. Step 2: Convert to fraction form
    343,255.80/514,922.10 = 106,596.60/x
  3. Step 3: Cross multiply
    343,255.80x = 514,922.10 × 106,596.60
  4. Step 4: Simplify right side
    343,255.80x = 54,888,945,124.86
  5. Step 5: Solve for x
    x = 54,888,945,124.86/343,255.80
  6. Step 6: Final answer
    x = 159,906.82

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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.