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Finding the Fourth Proportional to 274,371.40, 378,647.26 and 153,505.50

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Solution

The fourth proportional to 274,371.40, 378,647.26 and 153,505.50 is: 211,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,371.40 : 378,647.26 = 153,505.50 : x
  2. Step 2: Convert to fraction form
    274,371.40/378,647.26 = 153,505.50/x
  3. Step 3: Cross multiply
    274,371.40x = 378,647.26 × 153,505.50
  4. Step 4: Simplify right side
    274,371.40x = 58,124,436,969.93
  5. Step 5: Solve for x
    x = 58,124,436,969.93/274,371.40
  6. Step 6: Final answer
    x = 211,845.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.