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Finding the Fourth Proportional to 133,533.76, 184,276.20 and 76,945

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Solution

The fourth proportional to 133,533.76, 184,276.20 and 76,945 is: 106,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,533.76 : 184,276.20 = 76,945 : x
  2. Step 2: Convert to fraction form
    133,533.76/184,276.20 = 76,945/x
  3. Step 3: Cross multiply
    133,533.76x = 184,276.20 × 76,945
  4. Step 4: Simplify right side
    133,533.76x = 14,179,132,209
  5. Step 5: Solve for x
    x = 14,179,132,209/133,533.76
  6. Step 6: Final answer
    x = 106,183.88

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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.