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Finding the Fourth Proportional to 129,971.41, 194,964.05 and 41,232.01

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Solution

The fourth proportional to 129,971.41, 194,964.05 and 41,232.01 is: 61,850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,971.41 : 194,964.05 = 41,232.01 : x
  2. Step 2: Convert to fraction form
    129,971.41/194,964.05 = 41,232.01/x
  3. Step 3: Cross multiply
    129,971.41x = 194,964.05 × 41,232.01
  4. Step 4: Simplify right side
    129,971.41x = 8,038,759,659.24
  5. Step 5: Solve for x
    x = 8,038,759,659.24/129,971.41
  6. Step 6: Final answer
    x = 61,850.22

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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.