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Finding the Fourth Proportional to 139,104, 191,973.44 and 78,675.20

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Solution

The fourth proportional to 139,104, 191,973.44 and 78,675.20 is: 108,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,104 : 191,973.44 = 78,675.20 : x
  2. Step 2: Convert to fraction form
    139,104/191,973.44 = 78,675.20/x
  3. Step 3: Cross multiply
    139,104x = 191,973.44 × 78,675.20
  4. Step 4: Simplify right side
    139,104x = 15,103,548,786.69
  5. Step 5: Solve for x
    x = 15,103,548,786.69/139,104
  6. Step 6: Final answer
    x = 108,577.39

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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.