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Finding the Fourth Proportional to 106,189.89, 159,312.52 and 39,630.57

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Solution

The fourth proportional to 106,189.89, 159,312.52 and 39,630.57 is: 59,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,189.89 : 159,312.52 = 39,630.57 : x
  2. Step 2: Convert to fraction form
    106,189.89/159,312.52 = 39,630.57/x
  3. Step 3: Cross multiply
    106,189.89x = 159,312.52 × 39,630.57
  4. Step 4: Simplify right side
    106,189.89x = 6,313,645,427.85
  5. Step 5: Solve for x
    x = 6,313,645,427.85/106,189.89
  6. Step 6: Final answer
    x = 59,456.18

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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.