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Finding the Fourth Proportional to 133,776, 184,639.68 and 80,073

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Solution

The fourth proportional to 133,776, 184,639.68 and 80,073 is: 110,517.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,776 : 184,639.68 = 80,073 : x
  2. Step 2: Convert to fraction form
    133,776/184,639.68 = 80,073/x
  3. Step 3: Cross multiply
    133,776x = 184,639.68 × 80,073
  4. Step 4: Simplify right side
    133,776x = 14,784,653,096.64
  5. Step 5: Solve for x
    x = 14,784,653,096.64/133,776
  6. Step 6: Final answer
    x = 110,517.98

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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.