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Finding the Fourth Proportional to 277,977.29, 383,609.32 and 150,652.85

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Solution

The fourth proportional to 277,977.29, 383,609.32 and 150,652.85 is: 207,901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,977.29 : 383,609.32 = 150,652.85 : x
  2. Step 2: Convert to fraction form
    277,977.29/383,609.32 = 150,652.85/x
  3. Step 3: Cross multiply
    277,977.29x = 383,609.32 × 150,652.85
  4. Step 4: Simplify right side
    277,977.29x = 57,791,837,344.56
  5. Step 5: Solve for x
    x = 57,791,837,344.56/277,977.29
  6. Step 6: Final answer
    x = 207,901.29

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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.