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Finding the Fourth Proportional to 260,688.96, 359,789.22 and 165,204.36

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Solution

The fourth proportional to 260,688.96, 359,789.22 and 165,204.36 is: 228,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,688.96 : 359,789.22 = 165,204.36 : x
  2. Step 2: Convert to fraction form
    260,688.96/359,789.22 = 165,204.36/x
  3. Step 3: Cross multiply
    260,688.96x = 359,789.22 × 165,204.36
  4. Step 4: Simplify right side
    260,688.96x = 59,438,747,825.00
  5. Step 5: Solve for x
    x = 59,438,747,825.00/260,688.96
  6. Step 6: Final answer
    x = 228,006.39

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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.