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Finding the Fourth Proportional to 194,893.97, 292,351.25 and 61,784.60

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Solution

The fourth proportional to 194,893.97, 292,351.25 and 61,784.60 is: 92,680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,893.97 : 292,351.25 = 61,784.60 : x
  2. Step 2: Convert to fraction form
    194,893.97/292,351.25 = 61,784.60/x
  3. Step 3: Cross multiply
    194,893.97x = 292,351.25 × 61,784.60
  4. Step 4: Simplify right side
    194,893.97x = 18,062,805,926.09
  5. Step 5: Solve for x
    x = 18,062,805,926.09/194,893.97
  6. Step 6: Final answer
    x = 92,680.17

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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.