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Finding the Fourth Proportional to 206,009.24, 307,469.27 and 192,557.24

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Solution

The fourth proportional to 206,009.24, 307,469.27 and 192,557.24 is: 287,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,009.24 : 307,469.27 = 192,557.24 : x
  2. Step 2: Convert to fraction form
    206,009.24/307,469.27 = 192,557.24/x
  3. Step 3: Cross multiply
    206,009.24x = 307,469.27 × 192,557.24
  4. Step 4: Simplify right side
    206,009.24x = 59,205,434,016.01
  5. Step 5: Solve for x
    x = 59,205,434,016.01/206,009.24
  6. Step 6: Final answer
    x = 287,392.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.