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Finding the Fourth Proportional to 308,324.84, 462,480.06 and 142,112.84

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Solution

The fourth proportional to 308,324.84, 462,480.06 and 142,112.84 is: 213,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,324.84 : 462,480.06 = 142,112.84 : x
  2. Step 2: Convert to fraction form
    308,324.84/462,480.06 = 142,112.84/x
  3. Step 3: Cross multiply
    308,324.84x = 462,480.06 × 142,112.84
  4. Step 4: Simplify right side
    308,324.84x = 65,724,354,769.97
  5. Step 5: Solve for x
    x = 65,724,354,769.97/308,324.84
  6. Step 6: Final answer
    x = 213,165.94

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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.