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Finding the Fourth Proportional to 201,850, 302,769.24 and 61,588.24

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Solution

The fourth proportional to 201,850, 302,769.24 and 61,588.24 is: 92,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,850 : 302,769.24 = 61,588.24 : x
  2. Step 2: Convert to fraction form
    201,850/302,769.24 = 61,588.24/x
  3. Step 3: Cross multiply
    201,850x = 302,769.24 × 61,588.24
  4. Step 4: Simplify right side
    201,850x = 18,647,024,617.74
  5. Step 5: Solve for x
    x = 18,647,024,617.74/201,850
  6. Step 6: Final answer
    x = 92,380.60

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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.