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Finding the Fourth Proportional to 133,409.47, 184,105 and 72,980.09

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Solution

The fourth proportional to 133,409.47, 184,105 and 72,980.09 is: 100,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,409.47 : 184,105 = 72,980.09 : x
  2. Step 2: Convert to fraction form
    133,409.47/184,105 = 72,980.09/x
  3. Step 3: Cross multiply
    133,409.47x = 184,105 × 72,980.09
  4. Step 4: Simplify right side
    133,409.47x = 13,435,999,469.45
  5. Step 5: Solve for x
    x = 13,435,999,469.45/133,409.47
  6. Step 6: Final answer
    x = 100,712.49

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