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Finding the Fourth Proportional to 132,638, 183,040.50 and 73,022

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Solution

The fourth proportional to 132,638, 183,040.50 and 73,022 is: 100,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,638 : 183,040.50 = 73,022 : x
  2. Step 2: Convert to fraction form
    132,638/183,040.50 = 73,022/x
  3. Step 3: Cross multiply
    132,638x = 183,040.50 × 73,022
  4. Step 4: Simplify right side
    132,638x = 13,365,983,391
  5. Step 5: Solve for x
    x = 13,365,983,391/132,638
  6. Step 6: Final answer
    x = 100,770.39

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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.