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Finding the Fourth Proportional to 137,627.94, 206,150.22 and 103,977.30

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Solution

The fourth proportional to 137,627.94, 206,150.22 and 103,977.30 is: 155,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,627.94 : 206,150.22 = 103,977.30 : x
  2. Step 2: Convert to fraction form
    137,627.94/206,150.22 = 103,977.30/x
  3. Step 3: Cross multiply
    137,627.94x = 206,150.22 × 103,977.30
  4. Step 4: Simplify right side
    137,627.94x = 21,434,943,270.01
  5. Step 5: Solve for x
    x = 21,434,943,270.01/137,627.94
  6. Step 6: Final answer
    x = 155,745.58

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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.