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Finding the Fourth Proportional to 194,071.94, 291,107.91 and 53,830.56

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Solution

The fourth proportional to 194,071.94, 291,107.91 and 53,830.56 is: 80,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,071.94 : 291,107.91 = 53,830.56 : x
  2. Step 2: Convert to fraction form
    194,071.94/291,107.91 = 53,830.56/x
  3. Step 3: Cross multiply
    194,071.94x = 291,107.91 × 53,830.56
  4. Step 4: Simplify right side
    194,071.94x = 15,670,501,815.73
  5. Step 5: Solve for x
    x = 15,670,501,815.73/194,071.94
  6. Step 6: Final answer
    x = 80,745.84

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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.