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Finding the Fourth Proportional to 149,814.92, 206,745.66 and 82,746.92

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Solution

The fourth proportional to 149,814.92, 206,745.66 and 82,746.92 is: 114,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,814.92 : 206,745.66 = 82,746.92 : x
  2. Step 2: Convert to fraction form
    149,814.92/206,745.66 = 82,746.92/x
  3. Step 3: Cross multiply
    149,814.92x = 206,745.66 × 82,746.92
  4. Step 4: Simplify right side
    149,814.92x = 17,107,566,588.37
  5. Step 5: Solve for x
    x = 17,107,566,588.37/149,814.92
  6. Step 6: Final answer
    x = 114,191.34

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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.