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Finding the Fourth Proportional to 133,099.52, 183,486.54 and 82,077.98

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Solution

The fourth proportional to 133,099.52, 183,486.54 and 82,077.98 is: 113,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,099.52 : 183,486.54 = 82,077.98 : x
  2. Step 2: Convert to fraction form
    133,099.52/183,486.54 = 82,077.98/x
  3. Step 3: Cross multiply
    133,099.52x = 183,486.54 × 82,077.98
  4. Step 4: Simplify right side
    133,099.52x = 15,060,204,560.39
  5. Step 5: Solve for x
    x = 15,060,204,560.39/133,099.52
  6. Step 6: Final answer
    x = 113,149.95

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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.