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Finding the Fourth Proportional to 195,194, 292,791.16 and 54,952.64

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Solution

The fourth proportional to 195,194, 292,791.16 and 54,952.64 is: 82,429.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,194 : 292,791.16 = 54,952.64 : x
  2. Step 2: Convert to fraction form
    195,194/292,791.16 = 54,952.64/x
  3. Step 3: Cross multiply
    195,194x = 292,791.16 × 54,952.64
  4. Step 4: Simplify right side
    195,194x = 16,089,647,210.66
  5. Step 5: Solve for x
    x = 16,089,647,210.66/195,194
  6. Step 6: Final answer
    x = 82,429.01

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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.