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Finding the Fourth Proportional to 199,566, 275,401.44 and 110,142

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Solution

The fourth proportional to 199,566, 275,401.44 and 110,142 is: 151,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,566 : 275,401.44 = 110,142 : x
  2. Step 2: Convert to fraction form
    199,566/275,401.44 = 110,142/x
  3. Step 3: Cross multiply
    199,566x = 275,401.44 × 110,142
  4. Step 4: Simplify right side
    199,566x = 30,333,265,404.48
  5. Step 5: Solve for x
    x = 30,333,265,404.48/199,566
  6. Step 6: Final answer
    x = 151,996.16

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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.