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Finding the Fourth Proportional to 201,092.97, 301,678.34 and 76,424.25

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Solution

The fourth proportional to 201,092.97, 301,678.34 and 76,424.25 is: 114,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,092.97 : 301,678.34 = 76,424.25 : x
  2. Step 2: Convert to fraction form
    201,092.97/301,678.34 = 76,424.25/x
  3. Step 3: Cross multiply
    201,092.97x = 301,678.34 × 76,424.25
  4. Step 4: Simplify right side
    201,092.97x = 23,055,540,493.62
  5. Step 5: Solve for x
    x = 23,055,540,493.62/201,092.97
  6. Step 6: Final answer
    x = 114,651.15

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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.