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Finding the Fourth Proportional to 199,825, 275,766.42 and 114,941.96

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Solution

The fourth proportional to 199,825, 275,766.42 and 114,941.96 is: 158,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,825 : 275,766.42 = 114,941.96 : x
  2. Step 2: Convert to fraction form
    199,825/275,766.42 = 114,941.96/x
  3. Step 3: Cross multiply
    199,825x = 275,766.42 × 114,941.96
  4. Step 4: Simplify right side
    199,825x = 31,697,132,816.98
  5. Step 5: Solve for x
    x = 31,697,132,816.98/199,825
  6. Step 6: Final answer
    x = 158,624.46

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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.