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Finding the Fourth Proportional to 171,340.30, 257,103.42 and 71,509.20

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Solution

The fourth proportional to 171,340.30, 257,103.42 and 71,509.20 is: 107,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,340.30 : 257,103.42 = 71,509.20 : x
  2. Step 2: Convert to fraction form
    171,340.30/257,103.42 = 71,509.20/x
  3. Step 3: Cross multiply
    171,340.30x = 257,103.42 × 71,509.20
  4. Step 4: Simplify right side
    171,340.30x = 18,385,259,881.46
  5. Step 5: Solve for x
    x = 18,385,259,881.46/171,340.30
  6. Step 6: Final answer
    x = 107,302.60

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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.