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Finding the Fourth Proportional to 201,846.91, 302,768.85 and 52,074.47

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Solution

The fourth proportional to 201,846.91, 302,768.85 and 52,074.47 is: 78,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,846.91 : 302,768.85 = 52,074.47 : x
  2. Step 2: Convert to fraction form
    201,846.91/302,768.85 = 52,074.47/x
  3. Step 3: Cross multiply
    201,846.91x = 302,768.85 × 52,074.47
  4. Step 4: Simplify right side
    201,846.91x = 15,766,525,622.04
  5. Step 5: Solve for x
    x = 15,766,525,622.04/201,846.91
  6. Step 6: Final answer
    x = 78,111.31

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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.