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Finding the Fourth Proportional to 199,000.26, 274,606.47 and 112,960.98

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Solution

The fourth proportional to 199,000.26, 274,606.47 and 112,960.98 is: 155,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,000.26 : 274,606.47 = 112,960.98 : x
  2. Step 2: Convert to fraction form
    199,000.26/274,606.47 = 112,960.98/x
  3. Step 3: Cross multiply
    199,000.26x = 274,606.47 × 112,960.98
  4. Step 4: Simplify right side
    199,000.26x = 31,019,815,965.54
  5. Step 5: Solve for x
    x = 31,019,815,965.54/199,000.26
  6. Step 6: Final answer
    x = 155,878.27

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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.