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Finding the Fourth Proportional to 149,131.06, 205,800.86 and 82,063.06

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Solution

The fourth proportional to 149,131.06, 205,800.86 and 82,063.06 is: 113,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,131.06 : 205,800.86 = 82,063.06 : x
  2. Step 2: Convert to fraction form
    149,131.06/205,800.86 = 82,063.06/x
  3. Step 3: Cross multiply
    149,131.06x = 205,800.86 × 82,063.06
  4. Step 4: Simplify right side
    149,131.06x = 16,888,648,322.23
  5. Step 5: Solve for x
    x = 16,888,648,322.23/149,131.06
  6. Step 6: Final answer
    x = 113,247.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.