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Finding the Fourth Proportional to 201,164.50, 301,287.48 and 96,057.28

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Solution

The fourth proportional to 201,164.50, 301,287.48 and 96,057.28 is: 143,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,164.50 : 301,287.48 = 96,057.28 : x
  2. Step 2: Convert to fraction form
    201,164.50/301,287.48 = 96,057.28/x
  3. Step 3: Cross multiply
    201,164.50x = 301,287.48 × 96,057.28
  4. Step 4: Simplify right side
    201,164.50x = 28,940,855,826.85
  5. Step 5: Solve for x
    x = 28,940,855,826.85/201,164.50
  6. Step 6: Final answer
    x = 143,866.62

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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.