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Finding the Fourth Proportional to 274,098.70, 411,097.74 and 124,302.97

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Solution

The fourth proportional to 274,098.70, 411,097.74 and 124,302.97 is: 186,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,098.70 : 411,097.74 = 124,302.97 : x
  2. Step 2: Convert to fraction form
    274,098.70/411,097.74 = 124,302.97/x
  3. Step 3: Cross multiply
    274,098.70x = 411,097.74 × 124,302.97
  4. Step 4: Simplify right side
    274,098.70x = 51,100,670,042.29
  5. Step 5: Solve for x
    x = 51,100,670,042.29/274,098.70
  6. Step 6: Final answer
    x = 186,431.64

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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.