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Finding the Fourth Proportional to 197,199, 295,735.86 and 64,048.44

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Solution

The fourth proportional to 197,199, 295,735.86 and 64,048.44 is: 96,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,199 : 295,735.86 = 64,048.44 : x
  2. Step 2: Convert to fraction form
    197,199/295,735.86 = 64,048.44/x
  3. Step 3: Cross multiply
    197,199x = 295,735.86 × 64,048.44
  4. Step 4: Simplify right side
    197,199x = 18,941,420,485.06
  5. Step 5: Solve for x
    x = 18,941,420,485.06/197,199
  6. Step 6: Final answer
    x = 96,052.32

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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.