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Finding the Fourth Proportional to 197,079.12, 295,839.81 and 78,832.89

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Solution

The fourth proportional to 197,079.12, 295,839.81 and 78,832.89 is: 118,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,079.12 : 295,839.81 = 78,832.89 : x
  2. Step 2: Convert to fraction form
    197,079.12/295,839.81 = 78,832.89/x
  3. Step 3: Cross multiply
    197,079.12x = 295,839.81 × 78,832.89
  4. Step 4: Simplify right side
    197,079.12x = 23,321,907,199.35
  5. Step 5: Solve for x
    x = 23,321,907,199.35/197,079.12
  6. Step 6: Final answer
    x = 118,337.79

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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.