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Finding the Fourth Proportional to 206,544.96, 309,817.56 and 101,339.52

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Solution

The fourth proportional to 206,544.96, 309,817.56 and 101,339.52 is: 152,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,544.96 : 309,817.56 = 101,339.52 : x
  2. Step 2: Convert to fraction form
    206,544.96/309,817.56 = 101,339.52/x
  3. Step 3: Cross multiply
    206,544.96x = 309,817.56 × 101,339.52
  4. Step 4: Simplify right side
    206,544.96x = 31,396,762,817.97
  5. Step 5: Solve for x
    x = 31,396,762,817.97/206,544.96
  6. Step 6: Final answer
    x = 152,009.34

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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.