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Finding the Fourth Proportional to 199,496.50, 275,310.93 and 110,078.26

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Solution

The fourth proportional to 199,496.50, 275,310.93 and 110,078.26 is: 151,911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,496.50 : 275,310.93 = 110,078.26 : x
  2. Step 2: Convert to fraction form
    199,496.50/275,310.93 = 110,078.26/x
  3. Step 3: Cross multiply
    199,496.50x = 275,310.93 × 110,078.26
  4. Step 4: Simplify right side
    199,496.50x = 30,305,748,133.38
  5. Step 5: Solve for x
    x = 30,305,748,133.38/199,496.50
  6. Step 6: Final answer
    x = 151,911.18

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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.