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Finding the Fourth Proportional to 194,478, 291,766.23 and 54,236.63

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Solution

The fourth proportional to 194,478, 291,766.23 and 54,236.63 is: 81,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,478 : 291,766.23 = 54,236.63 : x
  2. Step 2: Convert to fraction form
    194,478/291,766.23 = 54,236.63/x
  3. Step 3: Cross multiply
    194,478x = 291,766.23 × 54,236.63
  4. Step 4: Simplify right side
    194,478x = 15,824,415,604.17
  5. Step 5: Solve for x
    x = 15,824,415,604.17/194,478
  6. Step 6: Final answer
    x = 81,368.67

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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.