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Finding the Fourth Proportional to 199,682.92, 275,560.74 and 110,257

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Solution

The fourth proportional to 199,682.92, 275,560.74 and 110,257 is: 152,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,682.92 : 275,560.74 = 110,257 : x
  2. Step 2: Convert to fraction form
    199,682.92/275,560.74 = 110,257/x
  3. Step 3: Cross multiply
    199,682.92x = 275,560.74 × 110,257
  4. Step 4: Simplify right side
    199,682.92x = 30,382,500,510.18
  5. Step 5: Solve for x
    x = 30,382,500,510.18/199,682.92
  6. Step 6: Final answer
    x = 152,153.73

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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.