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Finding the Fourth Proportional to 190,137, 262,458.18 and 110,649

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Solution

The fourth proportional to 190,137, 262,458.18 and 110,649 is: 152,735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,137 : 262,458.18 = 110,649 : x
  2. Step 2: Convert to fraction form
    190,137/262,458.18 = 110,649/x
  3. Step 3: Cross multiply
    190,137x = 262,458.18 × 110,649
  4. Step 4: Simplify right side
    190,137x = 29,040,735,158.82
  5. Step 5: Solve for x
    x = 29,040,735,158.82/190,137
  6. Step 6: Final answer
    x = 152,735.84

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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.