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Finding the Fourth Proportional to 273,208.89, 409,714.92 and 115,449.69

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Solution

The fourth proportional to 273,208.89, 409,714.92 and 115,449.69 is: 173,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,208.89 : 409,714.92 = 115,449.69 : x
  2. Step 2: Convert to fraction form
    273,208.89/409,714.92 = 115,449.69/x
  3. Step 3: Cross multiply
    273,208.89x = 409,714.92 × 115,449.69
  4. Step 4: Simplify right side
    273,208.89x = 47,301,460,502.37
  5. Step 5: Solve for x
    x = 47,301,460,502.37/273,208.89
  6. Step 6: Final answer
    x = 173,132.95

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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.