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Finding the Fourth Proportional to 171,741.86, 257,563.58 and 57,877.24

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Solution

The fourth proportional to 171,741.86, 257,563.58 and 57,877.24 is: 86,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,741.86 : 257,563.58 = 57,877.24 : x
  2. Step 2: Convert to fraction form
    171,741.86/257,563.58 = 57,877.24/x
  3. Step 3: Cross multiply
    171,741.86x = 257,563.58 × 57,877.24
  4. Step 4: Simplify right side
    171,741.86x = 14,907,069,134.92
  5. Step 5: Solve for x
    x = 14,907,069,134.92/171,741.86
  6. Step 6: Final answer
    x = 86,799.28

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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.