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Finding the Fourth Proportional to 129,902.68, 194,866.44 and 36,408.16

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Solution

The fourth proportional to 129,902.68, 194,866.44 and 36,408.16 is: 54,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,902.68 : 194,866.44 = 36,408.16 : x
  2. Step 2: Convert to fraction form
    129,902.68/194,866.44 = 36,408.16/x
  3. Step 3: Cross multiply
    129,902.68x = 194,866.44 × 36,408.16
  4. Step 4: Simplify right side
    129,902.68x = 7,094,728,526.15
  5. Step 5: Solve for x
    x = 7,094,728,526.15/129,902.68
  6. Step 6: Final answer
    x = 54,615.72

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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.