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Finding the Fourth Proportional to 194,466.80, 291,664.20 and 54,196.40

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Solution

The fourth proportional to 194,466.80, 291,664.20 and 54,196.40 is: 81,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,466.80 : 291,664.20 = 54,196.40 : x
  2. Step 2: Convert to fraction form
    194,466.80/291,664.20 = 54,196.40/x
  3. Step 3: Cross multiply
    194,466.80x = 291,664.20 × 54,196.40
  4. Step 4: Simplify right side
    194,466.80x = 15,807,149,648.88
  5. Step 5: Solve for x
    x = 15,807,149,648.88/194,466.80
  6. Step 6: Final answer
    x = 81,284.57

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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.