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Finding the Fourth Proportional to 208,110.80, 312,166.20 and 185,949.20

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Solution

The fourth proportional to 208,110.80, 312,166.20 and 185,949.20 is: 278,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,110.80 : 312,166.20 = 185,949.20 : x
  2. Step 2: Convert to fraction form
    208,110.80/312,166.20 = 185,949.20/x
  3. Step 3: Cross multiply
    208,110.80x = 312,166.20 × 185,949.20
  4. Step 4: Simplify right side
    208,110.80x = 58,047,055,157.04
  5. Step 5: Solve for x
    x = 58,047,055,157.04/208,110.80
  6. Step 6: Final answer
    x = 278,923.80

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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.