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Finding the Fourth Proportional to 201,383.13, 302,055.17 and 61,142.97

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Solution

The fourth proportional to 201,383.13, 302,055.17 and 61,142.97 is: 91,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,383.13 : 302,055.17 = 61,142.97 : x
  2. Step 2: Convert to fraction form
    201,383.13/302,055.17 = 61,142.97/x
  3. Step 3: Cross multiply
    201,383.13x = 302,055.17 × 61,142.97
  4. Step 4: Simplify right side
    201,383.13x = 18,468,549,891.94
  5. Step 5: Solve for x
    x = 18,468,549,891.94/201,383.13
  6. Step 6: Final answer
    x = 91,708.53

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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.