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Finding the Fourth Proportional to 132,940.54, 183,453.96 and 72,512.38

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Solution

The fourth proportional to 132,940.54, 183,453.96 and 72,512.38 is: 100,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,940.54 : 183,453.96 = 72,512.38 : x
  2. Step 2: Convert to fraction form
    132,940.54/183,453.96 = 72,512.38/x
  3. Step 3: Cross multiply
    132,940.54x = 183,453.96 × 72,512.38
  4. Step 4: Simplify right side
    132,940.54x = 13,302,683,260.02
  5. Step 5: Solve for x
    x = 13,302,683,260.02/132,940.54
  6. Step 6: Final answer
    x = 100,064.91

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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.