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Finding the Fourth Proportional to 201,494.24, 302,230.41 and 61,241.93

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Solution

The fourth proportional to 201,494.24, 302,230.41 and 61,241.93 is: 91,859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,494.24 : 302,230.41 = 61,241.93 : x
  2. Step 2: Convert to fraction form
    201,494.24/302,230.41 = 61,241.93/x
  3. Step 3: Cross multiply
    201,494.24x = 302,230.41 × 61,241.93
  4. Step 4: Simplify right side
    201,494.24x = 18,509,172,101.94
  5. Step 5: Solve for x
    x = 18,509,172,101.94/201,494.24
  6. Step 6: Final answer
    x = 91,859.56

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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.