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Finding the Fourth Proportional to 139,952.81, 193,203.83 and 96,964.90

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Solution

The fourth proportional to 139,952.81, 193,203.83 and 96,964.90 is: 133,859.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,952.81 : 193,203.83 = 96,964.90 : x
  2. Step 2: Convert to fraction form
    139,952.81/193,203.83 = 96,964.90/x
  3. Step 3: Cross multiply
    139,952.81x = 193,203.83 × 96,964.90
  4. Step 4: Simplify right side
    139,952.81x = 18,733,989,814.97
  5. Step 5: Solve for x
    x = 18,733,989,814.97/139,952.81
  6. Step 6: Final answer
    x = 133,859.33

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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.