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Finding the Fourth Proportional to 199,424, 275,224.56 and 110,000

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Solution

The fourth proportional to 199,424, 275,224.56 and 110,000 is: 151,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,424 : 275,224.56 = 110,000 : x
  2. Step 2: Convert to fraction form
    199,424/275,224.56 = 110,000/x
  3. Step 3: Cross multiply
    199,424x = 275,224.56 × 110,000
  4. Step 4: Simplify right side
    199,424x = 30,274,701,600
  5. Step 5: Solve for x
    x = 30,274,701,600/199,424
  6. Step 6: Final answer
    x = 151,810.72

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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.