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Finding the Fourth Proportional to 277,934.90, 383,550.14 and 150,610.49

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Solution

The fourth proportional to 277,934.90, 383,550.14 and 150,610.49 is: 207,842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,934.90 : 383,550.14 = 150,610.49 : x
  2. Step 2: Convert to fraction form
    277,934.90/383,550.14 = 150,610.49/x
  3. Step 3: Cross multiply
    277,934.90x = 383,550.14 × 150,610.49
  4. Step 4: Simplify right side
    277,934.90x = 57,766,673,574.87
  5. Step 5: Solve for x
    x = 57,766,673,574.87/277,934.90
  6. Step 6: Final answer
    x = 207,842.46

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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.