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Finding the Fourth Proportional to 194,709.09, 292,062.21 and 104,794.03

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Solution

The fourth proportional to 194,709.09, 292,062.21 and 104,794.03 is: 157,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,709.09 : 292,062.21 = 104,794.03 : x
  2. Step 2: Convert to fraction form
    194,709.09/292,062.21 = 104,794.03/x
  3. Step 3: Cross multiply
    194,709.09x = 292,062.21 × 104,794.03
  4. Step 4: Simplify right side
    194,709.09x = 30,606,374,536.30
  5. Step 5: Solve for x
    x = 30,606,374,536.30/194,709.09
  6. Step 6: Final answer
    x = 157,190.27

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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.