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Finding the Fourth Proportional to 277,173.86, 382,499.96 and 149,849.42

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Solution

The fourth proportional to 277,173.86, 382,499.96 and 149,849.42 is: 206,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,173.86 : 382,499.96 = 149,849.42 : x
  2. Step 2: Convert to fraction form
    277,173.86/382,499.96 = 149,849.42/x
  3. Step 3: Cross multiply
    277,173.86x = 382,499.96 × 149,849.42
  4. Step 4: Simplify right side
    277,173.86x = 57,317,397,156.02
  5. Step 5: Solve for x
    x = 57,317,397,156.02/277,173.86
  6. Step 6: Final answer
    x = 206,792.22

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Why These Related Problems?

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