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Finding the Fourth Proportional to 193,754.80, 290,632.20 and 160,986.80

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Solution

The fourth proportional to 193,754.80, 290,632.20 and 160,986.80 is: 241,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,754.80 : 290,632.20 = 160,986.80 : x
  2. Step 2: Convert to fraction form
    193,754.80/290,632.20 = 160,986.80/x
  3. Step 3: Cross multiply
    193,754.80x = 290,632.20 × 160,986.80
  4. Step 4: Simplify right side
    193,754.80x = 46,787,947,854.96
  5. Step 5: Solve for x
    x = 46,787,947,854.96/193,754.80
  6. Step 6: Final answer
    x = 241,480.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.