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Finding the Fourth Proportional to 106,206.95, 159,310.43 and 43,879.07

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Solution

The fourth proportional to 106,206.95, 159,310.43 and 43,879.07 is: 65,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,206.95 : 159,310.43 = 43,879.07 : x
  2. Step 2: Convert to fraction form
    106,206.95/159,310.43 = 43,879.07/x
  3. Step 3: Cross multiply
    106,206.95x = 159,310.43 × 43,879.07
  4. Step 4: Simplify right side
    106,206.95x = 6,990,392,493.75
  5. Step 5: Solve for x
    x = 6,990,392,493.75/106,206.95
  6. Step 6: Final answer
    x = 65,818.60

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1.5x scale

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.