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Finding the Fourth Proportional to 171,204.30, 256,853.70 and 71,411.40

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Solution

The fourth proportional to 171,204.30, 256,853.70 and 71,411.40 is: 107,136.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,204.30 : 256,853.70 = 71,411.40 : x
  2. Step 2: Convert to fraction form
    171,204.30/256,853.70 = 71,411.40/x
  3. Step 3: Cross multiply
    171,204.30x = 256,853.70 × 71,411.40
  4. Step 4: Simplify right side
    171,204.30x = 18,342,282,312.18
  5. Step 5: Solve for x
    x = 18,342,282,312.18/171,204.30
  6. Step 6: Final answer
    x = 107,136.81

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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.