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Finding the Fourth Proportional to 149,896.30, 206,856.90 and 82,828.30

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Solution

The fourth proportional to 149,896.30, 206,856.90 and 82,828.30 is: 114,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,896.30 : 206,856.90 = 82,828.30 : x
  2. Step 2: Convert to fraction form
    149,896.30/206,856.90 = 82,828.30/x
  3. Step 3: Cross multiply
    149,896.30x = 206,856.90 × 82,828.30
  4. Step 4: Simplify right side
    149,896.30x = 17,133,605,370.27
  5. Step 5: Solve for x
    x = 17,133,605,370.27/149,896.30
  6. Step 6: Final answer
    x = 114,303.06

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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.