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Finding the Fourth Proportional to 201,134.61, 301,683.46 and 68,016.02

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Solution

The fourth proportional to 201,134.61, 301,683.46 and 68,016.02 is: 102,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,134.61 : 301,683.46 = 68,016.02 : x
  2. Step 2: Convert to fraction form
    201,134.61/301,683.46 = 68,016.02/x
  3. Step 3: Cross multiply
    201,134.61x = 301,683.46 × 68,016.02
  4. Step 4: Simplify right side
    201,134.61x = 20,519,308,249.03
  5. Step 5: Solve for x
    x = 20,519,308,249.03/201,134.61
  6. Step 6: Final answer
    x = 102,017.79

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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.