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Finding the Fourth Proportional to 201,314.53, 301,784.08 and 68,102.09

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Solution

The fourth proportional to 201,314.53, 301,784.08 and 68,102.09 is: 102,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,314.53 : 301,784.08 = 68,102.09 : x
  2. Step 2: Convert to fraction form
    201,314.53/301,784.08 = 68,102.09/x
  3. Step 3: Cross multiply
    201,314.53x = 301,784.08 × 68,102.09
  4. Step 4: Simplify right side
    201,314.53x = 20,552,126,576.73
  5. Step 5: Solve for x
    x = 20,552,126,576.73/201,314.53
  6. Step 6: Final answer
    x = 102,089.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.