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Finding the Fourth Proportional to 199,498, 275,313 and 110,079.76

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Solution

The fourth proportional to 199,498, 275,313 and 110,079.76 is: 151,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,498 : 275,313 = 110,079.76 : x
  2. Step 2: Convert to fraction form
    199,498/275,313 = 110,079.76/x
  3. Step 3: Cross multiply
    199,498x = 275,313 × 110,079.76
  4. Step 4: Simplify right side
    199,498x = 30,306,388,964.88
  5. Step 5: Solve for x
    x = 30,306,388,964.88/199,498
  6. Step 6: Final answer
    x = 151,913.25

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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.