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Finding the Fourth Proportional to 171,994.29, 257,982.32 and 53,652.08

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Solution

The fourth proportional to 171,994.29, 257,982.32 and 53,652.08 is: 80,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,994.29 : 257,982.32 = 53,652.08 : x
  2. Step 2: Convert to fraction form
    171,994.29/257,982.32 = 53,652.08/x
  3. Step 3: Cross multiply
    171,994.29x = 257,982.32 × 53,652.08
  4. Step 4: Simplify right side
    171,994.29x = 13,841,286,513.05
  5. Step 5: Solve for x
    x = 13,841,286,513.05/171,994.29
  6. Step 6: Final answer
    x = 80,475.27

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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.