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Finding the Fourth Proportional to 129,971.66, 194,964.42 and 41,232.26

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Solution

The fourth proportional to 129,971.66, 194,964.42 and 41,232.26 is: 61,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,971.66 : 194,964.42 = 41,232.26 : x
  2. Step 2: Convert to fraction form
    129,971.66/194,964.42 = 41,232.26/x
  3. Step 3: Cross multiply
    129,971.66x = 194,964.42 × 41,232.26
  4. Step 4: Simplify right side
    129,971.66x = 8,038,823,656.19
  5. Step 5: Solve for x
    x = 8,038,823,656.19/129,971.66
  6. Step 6: Final answer
    x = 61,850.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.