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Finding the Fourth Proportional to 133,220.27, 198,858.55 and 116,405

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Solution

The fourth proportional to 133,220.27, 198,858.55 and 116,405 is: 173,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,220.27 : 198,858.55 = 116,405 : x
  2. Step 2: Convert to fraction form
    133,220.27/198,858.55 = 116,405/x
  3. Step 3: Cross multiply
    133,220.27x = 198,858.55 × 116,405
  4. Step 4: Simplify right side
    133,220.27x = 23,148,129,512.75
  5. Step 5: Solve for x
    x = 23,148,129,512.75/133,220.27
  6. Step 6: Final answer
    x = 173,758.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.