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Finding the Fourth Proportional to 257,342.44, 355,267 and 199,852.80

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Solution

The fourth proportional to 257,342.44, 355,267 and 199,852.80 is: 275,901.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,342.44 : 355,267 = 199,852.80 : x
  2. Step 2: Convert to fraction form
    257,342.44/355,267 = 199,852.80/x
  3. Step 3: Cross multiply
    257,342.44x = 355,267 × 199,852.80
  4. Step 4: Simplify right side
    257,342.44x = 71,001,104,697.60
  5. Step 5: Solve for x
    x = 71,001,104,697.60/257,342.44
  6. Step 6: Final answer
    x = 275,901.26

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