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Finding the Fourth Proportional to 171,766.53, 257,651.46 and 65,121.81

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Solution

The fourth proportional to 171,766.53, 257,651.46 and 65,121.81 is: 97,683.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,766.53 : 257,651.46 = 65,121.81 : x
  2. Step 2: Convert to fraction form
    171,766.53/257,651.46 = 65,121.81/x
  3. Step 3: Cross multiply
    171,766.53x = 257,651.46 × 65,121.81
  4. Step 4: Simplify right side
    171,766.53x = 16,778,729,424.34
  5. Step 5: Solve for x
    x = 16,778,729,424.34/171,766.53
  6. Step 6: Final answer
    x = 97,683.35

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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.