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Finding the Fourth Proportional to 190,198, 262,542.36 and 110,710

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Solution

The fourth proportional to 190,198, 262,542.36 and 110,710 is: 152,820.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,198 : 262,542.36 = 110,710 : x
  2. Step 2: Convert to fraction form
    190,198/262,542.36 = 110,710/x
  3. Step 3: Cross multiply
    190,198x = 262,542.36 × 110,710
  4. Step 4: Simplify right side
    190,198x = 29,066,064,675.60
  5. Step 5: Solve for x
    x = 29,066,064,675.60/190,198
  6. Step 6: Final answer
    x = 152,820.03

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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.