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Finding the Fourth Proportional to 208,098.40, 312,190.80 and 67,867.60

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Solution

The fourth proportional to 208,098.40, 312,190.80 and 67,867.60 is: 101,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,098.40 : 312,190.80 = 67,867.60 : x
  2. Step 2: Convert to fraction form
    208,098.40/312,190.80 = 67,867.60/x
  3. Step 3: Cross multiply
    208,098.40x = 312,190.80 × 67,867.60
  4. Step 4: Simplify right side
    208,098.40x = 21,187,640,338.08
  5. Step 5: Solve for x
    x = 21,187,640,338.08/208,098.40
  6. Step 6: Final answer
    x = 101,815.49

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1.5x scale

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.