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Finding the Fourth Proportional to 277,548.36, 383,019.54 and 150,226.68

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Solution

The fourth proportional to 277,548.36, 383,019.54 and 150,226.68 is: 207,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,548.36 : 383,019.54 = 150,226.68 : x
  2. Step 2: Convert to fraction form
    277,548.36/383,019.54 = 150,226.68/x
  3. Step 3: Cross multiply
    277,548.36x = 383,019.54 × 150,226.68
  4. Step 4: Simplify right side
    277,548.36x = 57,539,753,869.33
  5. Step 5: Solve for x
    x = 57,539,753,869.33/277,548.36
  6. Step 6: Final answer
    x = 207,314.34

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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.