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Finding the Fourth Proportional to 186,116.27, 279,299.48 and 185,431.48

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Solution

The fourth proportional to 186,116.27, 279,299.48 and 185,431.48 is: 278,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,116.27 : 279,299.48 = 185,431.48 : x
  2. Step 2: Convert to fraction form
    186,116.27/279,299.48 = 185,431.48/x
  3. Step 3: Cross multiply
    186,116.27x = 279,299.48 × 185,431.48
  4. Step 4: Simplify right side
    186,116.27x = 51,790,914,314.22
  5. Step 5: Solve for x
    x = 51,790,914,314.22/186,116.27
  6. Step 6: Final answer
    x = 278,271.83

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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.