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Finding the Fourth Proportional to 133,414.63, 184,113.64 and 72,983.97

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Solution

The fourth proportional to 133,414.63, 184,113.64 and 72,983.97 is: 100,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,414.63 : 184,113.64 = 72,983.97 : x
  2. Step 2: Convert to fraction form
    133,414.63/184,113.64 = 72,983.97/x
  3. Step 3: Cross multiply
    133,414.63x = 184,113.64 × 72,983.97
  4. Step 4: Simplify right side
    133,414.63x = 13,437,344,059.05
  5. Step 5: Solve for x
    x = 13,437,344,059.05/133,414.63
  6. Step 6: Final answer
    x = 100,718.67

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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.