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Finding the Fourth Proportional to 201,846.13, 302,767.67 and 52,073.69

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Solution

The fourth proportional to 201,846.13, 302,767.67 and 52,073.69 is: 78,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,846.13 : 302,767.67 = 52,073.69 : x
  2. Step 2: Convert to fraction form
    201,846.13/302,767.67 = 52,073.69/x
  3. Step 3: Cross multiply
    201,846.13x = 302,767.67 × 52,073.69
  4. Step 4: Simplify right side
    201,846.13x = 15,766,228,405.95
  5. Step 5: Solve for x
    x = 15,766,228,405.95/201,846.13
  6. Step 6: Final answer
    x = 78,110.14

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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.