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Finding the Fourth Proportional to 308,736.84, 463,123.18 and 119,198.12

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Solution

The fourth proportional to 308,736.84, 463,123.18 and 119,198.12 is: 178,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,736.84 : 463,123.18 = 119,198.12 : x
  2. Step 2: Convert to fraction form
    308,736.84/463,123.18 = 119,198.12/x
  3. Step 3: Cross multiply
    308,736.84x = 463,123.18 × 119,198.12
  4. Step 4: Simplify right side
    308,736.84x = 55,203,412,384.42
  5. Step 5: Solve for x
    x = 55,203,412,384.42/308,736.84
  6. Step 6: Final answer
    x = 178,804.10

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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.