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Finding the Fourth Proportional to 201,384.63, 302,057.42 and 61,144.47

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Solution

The fourth proportional to 201,384.63, 302,057.42 and 61,144.47 is: 91,710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,384.63 : 302,057.42 = 61,144.47 : x
  2. Step 2: Convert to fraction form
    201,384.63/302,057.42 = 61,144.47/x
  3. Step 3: Cross multiply
    201,384.63x = 302,057.42 × 61,144.47
  4. Step 4: Simplify right side
    201,384.63x = 18,469,140,549.75
  5. Step 5: Solve for x
    x = 18,469,140,549.75/201,384.63
  6. Step 6: Final answer
    x = 91,710.78

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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.