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Finding the Fourth Proportional to 194,954.75, 292,442.47 and 61,845.26

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Solution

The fourth proportional to 194,954.75, 292,442.47 and 61,845.26 is: 92,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,954.75 : 292,442.47 = 61,845.26 : x
  2. Step 2: Convert to fraction form
    194,954.75/292,442.47 = 61,845.26/x
  3. Step 3: Cross multiply
    194,954.75x = 292,442.47 × 61,845.26
  4. Step 4: Simplify right side
    194,954.75x = 18,086,178,975.37
  5. Step 5: Solve for x
    x = 18,086,178,975.37/194,954.75
  6. Step 6: Final answer
    x = 92,771.16

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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.