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Finding the Fourth Proportional to 277,222.26, 382,566.99 and 149,897.82

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Solution

The fourth proportional to 277,222.26, 382,566.99 and 149,897.82 is: 206,859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,222.26 : 382,566.99 = 149,897.82 : x
  2. Step 2: Convert to fraction form
    277,222.26/382,566.99 = 149,897.82/x
  3. Step 3: Cross multiply
    277,222.26x = 382,566.99 × 149,897.82
  4. Step 4: Simplify right side
    277,222.26x = 57,345,957,804.96
  5. Step 5: Solve for x
    x = 57,345,957,804.96/277,222.26
  6. Step 6: Final answer
    x = 206,859.14

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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.