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Finding the Fourth Proportional to 197,797.93, 296,734.34 and 79,478.53

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Solution

The fourth proportional to 197,797.93, 296,734.34 and 79,478.53 is: 119,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,797.93 : 296,734.34 = 79,478.53 : x
  2. Step 2: Convert to fraction form
    197,797.93/296,734.34 = 79,478.53/x
  3. Step 3: Cross multiply
    197,797.93x = 296,734.34 × 79,478.53
  4. Step 4: Simplify right side
    197,797.93x = 23,584,008,746.33
  5. Step 5: Solve for x
    x = 23,584,008,746.33/197,797.93
  6. Step 6: Final answer
    x = 119,232.84

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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.