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Finding the Fourth Proportional to 171,741.90, 257,563.62 and 57,877.31

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Solution

The fourth proportional to 171,741.90, 257,563.62 and 57,877.31 is: 86,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,741.90 : 257,563.62 = 57,877.31 : x
  2. Step 2: Convert to fraction form
    171,741.90/257,563.62 = 57,877.31/x
  3. Step 3: Cross multiply
    171,741.90x = 257,563.62 × 57,877.31
  4. Step 4: Simplify right side
    171,741.90x = 14,907,089,479.46
  5. Step 5: Solve for x
    x = 14,907,089,479.46/171,741.90
  6. Step 6: Final answer
    x = 86,799.37

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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.