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Finding the Fourth Proportional to 208,542.80, 312,814.20 and 119,969.30

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Solution

The fourth proportional to 208,542.80, 312,814.20 and 119,969.30 is: 179,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,542.80 : 312,814.20 = 119,969.30 : x
  2. Step 2: Convert to fraction form
    208,542.80/312,814.20 = 119,969.30/x
  3. Step 3: Cross multiply
    208,542.80x = 312,814.20 × 119,969.30
  4. Step 4: Simplify right side
    208,542.80x = 37,528,100,604.06
  5. Step 5: Solve for x
    x = 37,528,100,604.06/208,542.80
  6. Step 6: Final answer
    x = 179,953.95

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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.