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Finding the Fourth Proportional to 194,678.75, 292,016.31 and 61,559.09

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Solution

The fourth proportional to 194,678.75, 292,016.31 and 61,559.09 is: 92,338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,678.75 : 292,016.31 = 61,559.09 : x
  2. Step 2: Convert to fraction form
    194,678.75/292,016.31 = 61,559.09/x
  3. Step 3: Cross multiply
    194,678.75x = 292,016.31 × 61,559.09
  4. Step 4: Simplify right side
    194,678.75x = 17,976,256,848.68
  5. Step 5: Solve for x
    x = 17,976,256,848.68/194,678.75
  6. Step 6: Final answer
    x = 92,338.06

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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.