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Finding the Fourth Proportional to 194,466.40, 291,829.20 and 89,231.20

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Solution

The fourth proportional to 194,466.40, 291,829.20 and 89,231.20 is: 133,906.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,466.40 : 291,829.20 = 89,231.20 : x
  2. Step 2: Convert to fraction form
    194,466.40/291,829.20 = 89,231.20/x
  3. Step 3: Cross multiply
    194,466.40x = 291,829.20 × 89,231.20
  4. Step 4: Simplify right side
    194,466.40x = 26,040,269,711.04
  5. Step 5: Solve for x
    x = 26,040,269,711.04/194,466.40
  6. Step 6: Final answer
    x = 133,906.27

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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.