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Finding the Fourth Proportional to 274,409.18, 411,687.66 and 141,216.86

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Solution

The fourth proportional to 274,409.18, 411,687.66 and 141,216.86 is: 211,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,409.18 : 411,687.66 = 141,216.86 : x
  2. Step 2: Convert to fraction form
    274,409.18/411,687.66 = 141,216.86/x
  3. Step 3: Cross multiply
    274,409.18x = 411,687.66 × 141,216.86
  4. Step 4: Simplify right side
    274,409.18x = 58,137,238,645.95
  5. Step 5: Solve for x
    x = 58,137,238,645.95/274,409.18
  6. Step 6: Final answer
    x = 211,863.32

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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.