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Finding the Fourth Proportional to 201,336.22, 302,005.14 and 61,096.06

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Solution

The fourth proportional to 201,336.22, 302,005.14 and 61,096.06 is: 91,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,336.22 : 302,005.14 = 61,096.06 : x
  2. Step 2: Convert to fraction form
    201,336.22/302,005.14 = 61,096.06/x
  3. Step 3: Cross multiply
    201,336.22x = 302,005.14 × 61,096.06
  4. Step 4: Simplify right side
    201,336.22x = 18,451,324,153.75
  5. Step 5: Solve for x
    x = 18,451,324,153.75/201,336.22
  6. Step 6: Final answer
    x = 91,644.34

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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.