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Finding the Fourth Proportional to 273,506.08, 410,207.10 and 115,845.16

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Solution

The fourth proportional to 273,506.08, 410,207.10 and 115,845.16 is: 173,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,506.08 : 410,207.10 = 115,845.16 : x
  2. Step 2: Convert to fraction form
    273,506.08/410,207.10 = 115,845.16/x
  3. Step 3: Cross multiply
    273,506.08x = 410,207.10 × 115,845.16
  4. Step 4: Simplify right side
    273,506.08x = 47,520,507,132.64
  5. Step 5: Solve for x
    x = 47,520,507,132.64/273,506.08
  6. Step 6: Final answer
    x = 173,745.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.