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Finding the Fourth Proportional to 186,766.80, 257,740.83 and 106,194.12

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Solution

The fourth proportional to 186,766.80, 257,740.83 and 106,194.12 is: 146,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,766.80 : 257,740.83 = 106,194.12 : x
  2. Step 2: Convert to fraction form
    186,766.80/257,740.83 = 106,194.12/x
  3. Step 3: Cross multiply
    186,766.80x = 257,740.83 × 106,194.12
  4. Step 4: Simplify right side
    186,766.80x = 27,370,560,629.92
  5. Step 5: Solve for x
    x = 27,370,560,629.92/186,766.80
  6. Step 6: Final answer
    x = 146,549.39

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