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Finding the Fourth Proportional to 201,244.16, 301,866.24 and 61,002.80

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Solution

The fourth proportional to 201,244.16, 301,866.24 and 61,002.80 is: 91,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,244.16 : 301,866.24 = 61,002.80 : x
  2. Step 2: Convert to fraction form
    201,244.16/301,866.24 = 61,002.80/x
  3. Step 3: Cross multiply
    201,244.16x = 301,866.24 × 61,002.80
  4. Step 4: Simplify right side
    201,244.16x = 18,414,685,865.47
  5. Step 5: Solve for x
    x = 18,414,685,865.47/201,244.16
  6. Step 6: Final answer
    x = 91,504.20

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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.