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Finding the Fourth Proportional to 201,923.42, 302,885.14 and 68,735.12

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Solution

The fourth proportional to 201,923.42, 302,885.14 and 68,735.12 is: 103,102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,923.42 : 302,885.14 = 68,735.12 : x
  2. Step 2: Convert to fraction form
    201,923.42/302,885.14 = 68,735.12/x
  3. Step 3: Cross multiply
    201,923.42x = 302,885.14 × 68,735.12
  4. Step 4: Simplify right side
    201,923.42x = 20,818,846,444.12
  5. Step 5: Solve for x
    x = 20,818,846,444.12/201,923.42
  6. Step 6: Final answer
    x = 103,102.68

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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.