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Finding the Fourth Proportional to 133,093.44, 199,584.72 and 54,154.08

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Solution

The fourth proportional to 133,093.44, 199,584.72 and 54,154.08 is: 81,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,093.44 : 199,584.72 = 54,154.08 : x
  2. Step 2: Convert to fraction form
    133,093.44/199,584.72 = 54,154.08/x
  3. Step 3: Cross multiply
    133,093.44x = 199,584.72 × 54,154.08
  4. Step 4: Simplify right side
    133,093.44x = 10,808,326,893.66
  5. Step 5: Solve for x
    x = 10,808,326,893.66/133,093.44
  6. Step 6: Final answer
    x = 81,208.56

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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.