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Finding the Fourth Proportional to 171,509.40, 257,269.50 and 53,181.63

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Solution

The fourth proportional to 171,509.40, 257,269.50 and 53,181.63 is: 79,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,509.40 : 257,269.50 = 53,181.63 : x
  2. Step 2: Convert to fraction form
    171,509.40/257,269.50 = 53,181.63/x
  3. Step 3: Cross multiply
    171,509.40x = 257,269.50 × 53,181.63
  4. Step 4: Simplify right side
    171,509.40x = 13,682,011,359.29
  5. Step 5: Solve for x
    x = 13,682,011,359.29/171,509.40
  6. Step 6: Final answer
    x = 79,774.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.