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Finding the Fourth Proportional to 201,338.86, 302,010.11 and 61,097.49

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Solution

The fourth proportional to 201,338.86, 302,010.11 and 61,097.49 is: 91,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,338.86 : 302,010.11 = 61,097.49 : x
  2. Step 2: Convert to fraction form
    201,338.86/302,010.11 = 61,097.49/x
  3. Step 3: Cross multiply
    201,338.86x = 302,010.11 × 61,097.49
  4. Step 4: Simplify right side
    201,338.86x = 18,452,058,581.27
  5. Step 5: Solve for x
    x = 18,452,058,581.27/201,338.86
  6. Step 6: Final answer
    x = 91,646.78

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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.