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Finding the Fourth Proportional to 139,953.66, 193,136.31 and 76,291.44

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Solution

The fourth proportional to 139,953.66, 193,136.31 and 76,291.44 is: 105,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,953.66 : 193,136.31 = 76,291.44 : x
  2. Step 2: Convert to fraction form
    139,953.66/193,136.31 = 76,291.44/x
  3. Step 3: Cross multiply
    139,953.66x = 193,136.31 × 76,291.44
  4. Step 4: Simplify right side
    139,953.66x = 14,734,647,206.19
  5. Step 5: Solve for x
    x = 14,734,647,206.19/139,953.66
  6. Step 6: Final answer
    x = 105,282.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.