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Finding the Fourth Proportional to 139,745.82, 192,848.94 and 76,083.06

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Solution

The fourth proportional to 139,745.82, 192,848.94 and 76,083.06 is: 104,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,745.82 : 192,848.94 = 76,083.06 : x
  2. Step 2: Convert to fraction form
    139,745.82/192,848.94 = 76,083.06/x
  3. Step 3: Cross multiply
    139,745.82x = 192,848.94 × 76,083.06
  4. Step 4: Simplify right side
    139,745.82x = 14,672,537,472.96
  5. Step 5: Solve for x
    x = 14,672,537,472.96/139,745.82
  6. Step 6: Final answer
    x = 104,994.46

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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.