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Finding the Fourth Proportional to 199,573, 275,411.10 and 110,149

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Solution

The fourth proportional to 199,573, 275,411.10 and 110,149 is: 152,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,573 : 275,411.10 = 110,149 : x
  2. Step 2: Convert to fraction form
    199,573/275,411.10 = 110,149/x
  3. Step 3: Cross multiply
    199,573x = 275,411.10 × 110,149
  4. Step 4: Simplify right side
    199,573x = 30,336,257,253.90
  5. Step 5: Solve for x
    x = 30,336,257,253.90/199,573
  6. Step 6: Final answer
    x = 152,005.82

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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.