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Finding the Fourth Proportional to 308,711.94, 463,062.24 and 84,068.97

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Solution

The fourth proportional to 308,711.94, 463,062.24 and 84,068.97 is: 126,101.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,711.94 : 463,062.24 = 84,068.97 : x
  2. Step 2: Convert to fraction form
    308,711.94/463,062.24 = 84,068.97/x
  3. Step 3: Cross multiply
    308,711.94x = 463,062.24 × 84,068.97
  4. Step 4: Simplify right side
    308,711.94x = 38,929,165,562.69
  5. Step 5: Solve for x
    x = 38,929,165,562.69/308,711.94
  6. Step 6: Final answer
    x = 126,101.91

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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.