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Finding the Fourth Proportional to 133,093.30, 199,639.95 and 119,971.30

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Solution

The fourth proportional to 133,093.30, 199,639.95 and 119,971.30 is: 179,956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,093.30 : 199,639.95 = 119,971.30 : x
  2. Step 2: Convert to fraction form
    133,093.30/199,639.95 = 119,971.30/x
  3. Step 3: Cross multiply
    133,093.30x = 199,639.95 × 119,971.30
  4. Step 4: Simplify right side
    133,093.30x = 23,951,064,333.44
  5. Step 5: Solve for x
    x = 23,951,064,333.44/133,093.30
  6. Step 6: Final answer
    x = 179,956.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.