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Finding the Fourth Proportional to 120,124.82, 165,777.09 and 66,409.94

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Solution

The fourth proportional to 120,124.82, 165,777.09 and 66,409.94 is: 91,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,124.82 : 165,777.09 = 66,409.94 : x
  2. Step 2: Convert to fraction form
    120,124.82/165,777.09 = 66,409.94/x
  3. Step 3: Cross multiply
    120,124.82x = 165,777.09 × 66,409.94
  4. Step 4: Simplify right side
    120,124.82x = 11,009,246,600.27
  5. Step 5: Solve for x
    x = 11,009,246,600.27/120,124.82
  6. Step 6: Final answer
    x = 91,648.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.