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Finding the Fourth Proportional to 133,828.88, 184,683.85 and 74,212.88

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Solution

The fourth proportional to 133,828.88, 184,683.85 and 74,212.88 is: 102,413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,828.88 : 184,683.85 = 74,212.88 : x
  2. Step 2: Convert to fraction form
    133,828.88/184,683.85 = 74,212.88/x
  3. Step 3: Cross multiply
    133,828.88x = 184,683.85 × 74,212.88
  4. Step 4: Simplify right side
    133,828.88x = 13,705,919,289.04
  5. Step 5: Solve for x
    x = 13,705,919,289.04/133,828.88
  6. Step 6: Final answer
    x = 102,413.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.