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Finding the Fourth Proportional to 204,059.73, 306,007.57 and 77,656.60

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Solution

The fourth proportional to 204,059.73, 306,007.57 and 77,656.60 is: 116,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,059.73 : 306,007.57 = 77,656.60 : x
  2. Step 2: Convert to fraction form
    204,059.73/306,007.57 = 77,656.60/x
  3. Step 3: Cross multiply
    204,059.73x = 306,007.57 × 77,656.60
  4. Step 4: Simplify right side
    204,059.73x = 23,763,507,460.46
  5. Step 5: Solve for x
    x = 23,763,507,460.46/204,059.73
  6. Step 6: Final answer
    x = 116,453.68

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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.