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Finding the Fourth Proportional to 135,096.42, 202,602.50 and 50,868.30

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Solution

The fourth proportional to 135,096.42, 202,602.50 and 50,868.30 is: 76,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,096.42 : 202,602.50 = 50,868.30 : x
  2. Step 2: Convert to fraction form
    135,096.42/202,602.50 = 50,868.30/x
  3. Step 3: Cross multiply
    135,096.42x = 202,602.50 × 50,868.30
  4. Step 4: Simplify right side
    135,096.42x = 10,306,044,750.75
  5. Step 5: Solve for x
    x = 10,306,044,750.75/135,096.42
  6. Step 6: Final answer
    x = 76,286.59

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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.