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Finding the Fourth Proportional to 273,664.58, 410,536.05 and 84,140.86

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Solution

The fourth proportional to 273,664.58, 410,536.05 and 84,140.86 is: 126,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,664.58 : 410,536.05 = 84,140.86 : x
  2. Step 2: Convert to fraction form
    273,664.58/410,536.05 = 84,140.86/x
  3. Step 3: Cross multiply
    273,664.58x = 410,536.05 × 84,140.86
  4. Step 4: Simplify right side
    273,664.58x = 34,542,856,308.00
  5. Step 5: Solve for x
    x = 34,542,856,308.00/273,664.58
  6. Step 6: Final answer
    x = 126,223.34

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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.