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Finding the Fourth Proportional to 273,781.80, 410,826.30 and 115,983.40

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Solution

The fourth proportional to 273,781.80, 410,826.30 and 115,983.40 is: 174,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,781.80 : 410,826.30 = 115,983.40 : x
  2. Step 2: Convert to fraction form
    273,781.80/410,826.30 = 115,983.40/x
  3. Step 3: Cross multiply
    273,781.80x = 410,826.30 × 115,983.40
  4. Step 4: Simplify right side
    273,781.80x = 47,649,031,083.42
  5. Step 5: Solve for x
    x = 47,649,031,083.42/273,781.80
  6. Step 6: Final answer
    x = 174,040.17

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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.