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Finding the Fourth Proportional to 138,597.26, 207,894.06 and 33,415.38

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Solution

The fourth proportional to 138,597.26, 207,894.06 and 33,415.38 is: 50,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,597.26 : 207,894.06 = 33,415.38 : x
  2. Step 2: Convert to fraction form
    138,597.26/207,894.06 = 33,415.38/x
  3. Step 3: Cross multiply
    138,597.26x = 207,894.06 × 33,415.38
  4. Step 4: Simplify right side
    138,597.26x = 6,946,859,014.64
  5. Step 5: Solve for x
    x = 6,946,859,014.64/138,597.26
  6. Step 6: Final answer
    x = 50,122.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.