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Finding the Fourth Proportional to 139,969.92, 193,131.12 and 82,627.20

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Solution

The fourth proportional to 139,969.92, 193,131.12 and 82,627.20 is: 114,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,969.92 : 193,131.12 = 82,627.20 : x
  2. Step 2: Convert to fraction form
    139,969.92/193,131.12 = 82,627.20/x
  3. Step 3: Cross multiply
    139,969.92x = 193,131.12 × 82,627.20
  4. Step 4: Simplify right side
    139,969.92x = 15,957,883,678.46
  5. Step 5: Solve for x
    x = 15,957,883,678.46/139,969.92
  6. Step 6: Final answer
    x = 114,009.38

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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.