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Finding the Fourth Proportional to 133,194.96, 199,824.78 and 44,455.14

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Solution

The fourth proportional to 133,194.96, 199,824.78 and 44,455.14 is: 66,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,194.96 : 199,824.78 = 44,455.14 : x
  2. Step 2: Convert to fraction form
    133,194.96/199,824.78 = 44,455.14/x
  3. Step 3: Cross multiply
    133,194.96x = 199,824.78 × 44,455.14
  4. Step 4: Simplify right side
    133,194.96x = 8,883,238,570.37
  5. Step 5: Solve for x
    x = 8,883,238,570.37/133,194.96
  6. Step 6: Final answer
    x = 66,693.50

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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.