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Finding the Fourth Proportional to 139,954.81, 209,932.22 and 46,460.56

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Solution

The fourth proportional to 139,954.81, 209,932.22 and 46,460.56 is: 69,690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,954.81 : 209,932.22 = 46,460.56 : x
  2. Step 2: Convert to fraction form
    139,954.81/209,932.22 = 46,460.56/x
  3. Step 3: Cross multiply
    139,954.81x = 209,932.22 × 46,460.56
  4. Step 4: Simplify right side
    139,954.81x = 9,753,568,503.24
  5. Step 5: Solve for x
    x = 9,753,568,503.24/139,954.81
  6. Step 6: Final answer
    x = 69,690.84

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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.