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Finding the Fourth Proportional to 132,909, 183,414.42 and 73,293

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Solution

The fourth proportional to 132,909, 183,414.42 and 73,293 is: 101,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,909 : 183,414.42 = 73,293 : x
  2. Step 2: Convert to fraction form
    132,909/183,414.42 = 73,293/x
  3. Step 3: Cross multiply
    132,909x = 183,414.42 × 73,293
  4. Step 4: Simplify right side
    132,909x = 13,442,993,085.06
  5. Step 5: Solve for x
    x = 13,442,993,085.06/132,909
  6. Step 6: Final answer
    x = 101,144.34

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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.