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Finding the Fourth Proportional to 274,216.31, 411,333.56 and 94,299.97

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Solution

The fourth proportional to 274,216.31, 411,333.56 and 94,299.97 is: 141,453.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,216.31 : 411,333.56 = 94,299.97 : x
  2. Step 2: Convert to fraction form
    274,216.31/411,333.56 = 94,299.97/x
  3. Step 3: Cross multiply
    274,216.31x = 411,333.56 × 94,299.97
  4. Step 4: Simplify right side
    274,216.31x = 38,788,740,804.16
  5. Step 5: Solve for x
    x = 38,788,740,804.16/274,216.31
  6. Step 6: Final answer
    x = 141,453.08

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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.