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Finding the Fourth Proportional to 106,321.40, 159,336.30 and 86,638.40

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Solution

The fourth proportional to 106,321.40, 159,336.30 and 86,638.40 is: 129,838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,321.40 : 159,336.30 = 86,638.40 : x
  2. Step 2: Convert to fraction form
    106,321.40/159,336.30 = 86,638.40/x
  3. Step 3: Cross multiply
    106,321.40x = 159,336.30 × 86,638.40
  4. Step 4: Simplify right side
    106,321.40x = 13,804,642,093.92
  5. Step 5: Solve for x
    x = 13,804,642,093.92/106,321.40
  6. Step 6: Final answer
    x = 129,838.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.