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Finding the Fourth Proportional to 137,361.82, 205,775.40 and 101,272.54

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Solution

The fourth proportional to 137,361.82, 205,775.40 and 101,272.54 is: 151,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,361.82 : 205,775.40 = 101,272.54 : x
  2. Step 2: Convert to fraction form
    137,361.82/205,775.40 = 101,272.54/x
  3. Step 3: Cross multiply
    137,361.82x = 205,775.40 × 101,272.54
  4. Step 4: Simplify right side
    137,361.82x = 20,839,397,427.52
  5. Step 5: Solve for x
    x = 20,839,397,427.52/137,361.82
  6. Step 6: Final answer
    x = 151,711.72

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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.