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Finding the Fourth Proportional to 205,850.40, 308,775.60 and 159,194.40

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Solution

The fourth proportional to 205,850.40, 308,775.60 and 159,194.40 is: 238,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,850.40 : 308,775.60 = 159,194.40 : x
  2. Step 2: Convert to fraction form
    205,850.40/308,775.60 = 159,194.40/x
  3. Step 3: Cross multiply
    205,850.40x = 308,775.60 × 159,194.40
  4. Step 4: Simplify right side
    205,850.40x = 49,155,346,376.64
  5. Step 5: Solve for x
    x = 49,155,346,376.64/205,850.40
  6. Step 6: Final answer
    x = 238,791.60

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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.