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Finding the Fourth Proportional to 274,509.80, 411,246.30 and 140,935.40

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Solution

The fourth proportional to 274,509.80, 411,246.30 and 140,935.40 is: 211,136.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,509.80 : 411,246.30 = 140,935.40 : x
  2. Step 2: Convert to fraction form
    274,509.80/411,246.30 = 140,935.40/x
  3. Step 3: Cross multiply
    274,509.80x = 411,246.30 × 140,935.40
  4. Step 4: Simplify right side
    274,509.80x = 57,959,161,789.02
  5. Step 5: Solve for x
    x = 57,959,161,789.02/274,509.80
  6. Step 6: Final answer
    x = 211,136.95

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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.