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Finding the Fourth Proportional to 139,953.81, 193,205.21 and 96,965.90

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Solution

The fourth proportional to 139,953.81, 193,205.21 and 96,965.90 is: 133,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,953.81 : 193,205.21 = 96,965.90 : x
  2. Step 2: Convert to fraction form
    139,953.81/193,205.21 = 96,965.90/x
  3. Step 3: Cross multiply
    139,953.81x = 193,205.21 × 96,965.90
  4. Step 4: Simplify right side
    139,953.81x = 18,734,317,072.34
  5. Step 5: Solve for x
    x = 18,734,317,072.34/139,953.81
  6. Step 6: Final answer
    x = 133,860.71

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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.