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Finding the Fourth Proportional to 186,904.82, 280,361.20 and 66,969.60

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Solution

The fourth proportional to 186,904.82, 280,361.20 and 66,969.60 is: 100,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,904.82 : 280,361.20 = 66,969.60 : x
  2. Step 2: Convert to fraction form
    186,904.82/280,361.20 = 66,969.60/x
  3. Step 3: Cross multiply
    186,904.82x = 280,361.20 × 66,969.60
  4. Step 4: Simplify right side
    186,904.82x = 18,775,677,586.94
  5. Step 5: Solve for x
    x = 18,775,677,586.94/186,904.82
  6. Step 6: Final answer
    x = 100,455.83

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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.