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Finding the Fourth Proportional to 171,706.68, 257,558.76 and 53,377.80

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Solution

The fourth proportional to 171,706.68, 257,558.76 and 53,377.80 is: 80,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,706.68 : 257,558.76 = 53,377.80 : x
  2. Step 2: Convert to fraction form
    171,706.68/257,558.76 = 53,377.80/x
  3. Step 3: Cross multiply
    171,706.68x = 257,558.76 × 53,377.80
  4. Step 4: Simplify right side
    171,706.68x = 13,747,919,979.53
  5. Step 5: Solve for x
    x = 13,747,919,979.53/171,706.68
  6. Step 6: Final answer
    x = 80,066.31

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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.