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Finding the Fourth Proportional to 188,466.75, 260,084.12 and 103,583.81

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Solution

The fourth proportional to 188,466.75, 260,084.12 and 103,583.81 is: 142,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,466.75 : 260,084.12 = 103,583.81 : x
  2. Step 2: Convert to fraction form
    188,466.75/260,084.12 = 103,583.81/x
  3. Step 3: Cross multiply
    188,466.75x = 260,084.12 × 103,583.81
  4. Step 4: Simplify right side
    188,466.75x = 26,940,504,202.39
  5. Step 5: Solve for x
    x = 26,940,504,202.39/188,466.75
  6. Step 6: Final answer
    x = 142,945.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.