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Finding the Fourth Proportional to 201,396.94, 302,095.43 and 95,896.06

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Solution

The fourth proportional to 201,396.94, 302,095.43 and 95,896.06 is: 143,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,396.94 : 302,095.43 = 95,896.06 : x
  2. Step 2: Convert to fraction form
    201,396.94/302,095.43 = 95,896.06/x
  3. Step 3: Cross multiply
    201,396.94x = 302,095.43 × 95,896.06
  4. Step 4: Simplify right side
    201,396.94x = 28,969,761,481.01
  5. Step 5: Solve for x
    x = 28,969,761,481.01/201,396.94
  6. Step 6: Final answer
    x = 143,844.10

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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.