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Finding the Fourth Proportional to 277,095.60, 382,392.09 and 149,771.43

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Solution

The fourth proportional to 277,095.60, 382,392.09 and 149,771.43 is: 206,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,095.60 : 382,392.09 = 149,771.43 : x
  2. Step 2: Convert to fraction form
    277,095.60/382,392.09 = 149,771.43/x
  3. Step 3: Cross multiply
    277,095.60x = 382,392.09 × 149,771.43
  4. Step 4: Simplify right side
    277,095.60x = 57,271,410,139.99
  5. Step 5: Solve for x
    x = 57,271,410,139.99/277,095.60
  6. Step 6: Final answer
    x = 206,684.66

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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.