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Finding the Fourth Proportional to 200,851.79, 301,279.42 and 51,092.23

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Solution

The fourth proportional to 200,851.79, 301,279.42 and 51,092.23 is: 76,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,851.79 : 301,279.42 = 51,092.23 : x
  2. Step 2: Convert to fraction form
    200,851.79/301,279.42 = 51,092.23/x
  3. Step 3: Cross multiply
    200,851.79x = 301,279.42 × 51,092.23
  4. Step 4: Simplify right side
    200,851.79x = 15,393,035,659.05
  5. Step 5: Solve for x
    x = 15,393,035,659.05/200,851.79
  6. Step 6: Final answer
    x = 76,638.78

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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.