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Finding the Fourth Proportional to 201,421.50, 302,198.13 and 61,180.26

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Solution

The fourth proportional to 201,421.50, 302,198.13 and 61,180.26 is: 91,790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,421.50 : 302,198.13 = 61,180.26 : x
  2. Step 2: Convert to fraction form
    201,421.50/302,198.13 = 61,180.26/x
  3. Step 3: Cross multiply
    201,421.50x = 302,198.13 × 61,180.26
  4. Step 4: Simplify right side
    201,421.50x = 18,488,560,164.91
  5. Step 5: Solve for x
    x = 18,488,560,164.91/201,421.50
  6. Step 6: Final answer
    x = 91,790.40

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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.