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Finding the Fourth Proportional to 277,135.99, 382,448.23 and 149,811.59

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Solution

The fourth proportional to 277,135.99, 382,448.23 and 149,811.59 is: 206,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,135.99 : 382,448.23 = 149,811.59 : x
  2. Step 2: Convert to fraction form
    277,135.99/382,448.23 = 149,811.59/x
  3. Step 3: Cross multiply
    277,135.99x = 382,448.23 × 149,811.59
  4. Step 4: Simplify right side
    277,135.99x = 57,295,177,239.81
  5. Step 5: Solve for x
    x = 57,295,177,239.81/277,135.99
  6. Step 6: Final answer
    x = 206,740.29

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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.