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Finding the Fourth Proportional to 129,436.50, 194,154.75 and 35,942.25

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Solution

The fourth proportional to 129,436.50, 194,154.75 and 35,942.25 is: 53,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,436.50 : 194,154.75 = 35,942.25 : x
  2. Step 2: Convert to fraction form
    129,436.50/194,154.75 = 35,942.25/x
  3. Step 3: Cross multiply
    129,436.50x = 194,154.75 × 35,942.25
  4. Step 4: Simplify right side
    129,436.50x = 6,978,358,563.19
  5. Step 5: Solve for x
    x = 6,978,358,563.19/129,436.50
  6. Step 6: Final answer
    x = 53,913.38

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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.