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Finding the Fourth Proportional to 139,082.85, 191,932.47 and 75,419.82

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Solution

The fourth proportional to 139,082.85, 191,932.47 and 75,419.82 is: 104,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,082.85 : 191,932.47 = 75,419.82 : x
  2. Step 2: Convert to fraction form
    139,082.85/191,932.47 = 75,419.82/x
  3. Step 3: Cross multiply
    139,082.85x = 191,932.47 × 75,419.82
  4. Step 4: Simplify right side
    139,082.85x = 14,475,512,339.56
  5. Step 5: Solve for x
    x = 14,475,512,339.56/139,082.85
  6. Step 6: Final answer
    x = 104,078.34

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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.