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Finding the Fourth Proportional to 139,907.45, 193,137.11 and 82,527.46

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Solution

The fourth proportional to 139,907.45, 193,137.11 and 82,527.46 is: 113,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,907.45 : 193,137.11 = 82,527.46 : x
  2. Step 2: Convert to fraction form
    139,907.45/193,137.11 = 82,527.46/x
  3. Step 3: Cross multiply
    139,907.45x = 193,137.11 × 82,527.46
  4. Step 4: Simplify right side
    139,907.45x = 15,939,114,534.04
  5. Step 5: Solve for x
    x = 15,939,114,534.04/139,907.45
  6. Step 6: Final answer
    x = 113,926.13

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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.