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Finding the Fourth Proportional to 206,195.56, 308,999.58 and 121,972.84

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Solution

The fourth proportional to 206,195.56, 308,999.58 and 121,972.84 is: 182,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,195.56 : 308,999.58 = 121,972.84 : x
  2. Step 2: Convert to fraction form
    206,195.56/308,999.58 = 121,972.84/x
  3. Step 3: Cross multiply
    206,195.56x = 308,999.58 × 121,972.84
  4. Step 4: Simplify right side
    206,195.56x = 37,689,556,331.41
  5. Step 5: Solve for x
    x = 37,689,556,331.41/206,195.56
  6. Step 6: Final answer
    x = 182,785.49

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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.