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Finding the Fourth Proportional to 194,453.84, 291,583.56 and 89,183

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Solution

The fourth proportional to 194,453.84, 291,583.56 and 89,183 is: 133,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,453.84 : 291,583.56 = 89,183 : x
  2. Step 2: Convert to fraction form
    194,453.84/291,583.56 = 89,183/x
  3. Step 3: Cross multiply
    194,453.84x = 291,583.56 × 89,183
  4. Step 4: Simplify right side
    194,453.84x = 26,004,296,631.48
  5. Step 5: Solve for x
    x = 26,004,296,631.48/194,453.84
  6. Step 6: Final answer
    x = 133,729.92

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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.