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Finding the Fourth Proportional to 206,596.13, 310,060.26 and 106,785.56

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Solution

The fourth proportional to 206,596.13, 310,060.26 and 106,785.56 is: 160,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,596.13 : 310,060.26 = 106,785.56 : x
  2. Step 2: Convert to fraction form
    206,596.13/310,060.26 = 106,785.56/x
  3. Step 3: Cross multiply
    206,596.13x = 310,060.26 × 106,785.56
  4. Step 4: Simplify right side
    206,596.13x = 33,109,956,947.54
  5. Step 5: Solve for x
    x = 33,109,956,947.54/206,596.13
  6. Step 6: Final answer
    x = 160,264.17

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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.