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Finding the Fourth Proportional to 129,896.93, 194,850.90 and 41,148.47

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Solution

The fourth proportional to 129,896.93, 194,850.90 and 41,148.47 is: 61,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,896.93 : 194,850.90 = 41,148.47 : x
  2. Step 2: Convert to fraction form
    129,896.93/194,850.90 = 41,148.47/x
  3. Step 3: Cross multiply
    129,896.93x = 194,850.90 × 41,148.47
  4. Step 4: Simplify right side
    129,896.93x = 8,017,816,900.25
  5. Step 5: Solve for x
    x = 8,017,816,900.25/129,896.93
  6. Step 6: Final answer
    x = 61,724.45

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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.