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Finding the Fourth Proportional to 122,139.97, 183,201.19 and 37,897.97

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Solution

The fourth proportional to 122,139.97, 183,201.19 and 37,897.97 is: 56,844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,139.97 : 183,201.19 = 37,897.97 : x
  2. Step 2: Convert to fraction form
    122,139.97/183,201.19 = 37,897.97/x
  3. Step 3: Cross multiply
    122,139.97x = 183,201.19 × 37,897.97
  4. Step 4: Simplify right side
    122,139.97x = 6,942,953,202.58
  5. Step 5: Solve for x
    x = 6,942,953,202.58/122,139.97
  6. Step 6: Final answer
    x = 56,844.24

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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.