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Finding the Fourth Proportional to 260,169.36, 359,144.38 and 158,227.56

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Solution

The fourth proportional to 260,169.36, 359,144.38 and 158,227.56 is: 218,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,169.36 : 359,144.38 = 158,227.56 : x
  2. Step 2: Convert to fraction form
    260,169.36/359,144.38 = 158,227.56/x
  3. Step 3: Cross multiply
    260,169.36x = 359,144.38 × 158,227.56
  4. Step 4: Simplify right side
    260,169.36x = 56,826,539,779.61
  5. Step 5: Solve for x
    x = 56,826,539,779.61/260,169.36
  6. Step 6: Final answer
    x = 218,421.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.