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Finding the Fourth Proportional to 197,326.81, 295,964.56 and 78,999.31

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Solution

The fourth proportional to 197,326.81, 295,964.56 and 78,999.31 is: 118,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,326.81 : 295,964.56 = 78,999.31 : x
  2. Step 2: Convert to fraction form
    197,326.81/295,964.56 = 78,999.31/x
  3. Step 3: Cross multiply
    197,326.81x = 295,964.56 × 78,999.31
  4. Step 4: Simplify right side
    197,326.81x = 23,380,996,024.45
  5. Step 5: Solve for x
    x = 23,380,996,024.45/197,326.81
  6. Step 6: Final answer
    x = 118,488.69

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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.