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Finding the Fourth Proportional to 106,235.60, 159,353.40 and 89,128.40

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Solution

The fourth proportional to 106,235.60, 159,353.40 and 89,128.40 is: 133,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,235.60 : 159,353.40 = 89,128.40 : x
  2. Step 2: Convert to fraction form
    106,235.60/159,353.40 = 89,128.40/x
  3. Step 3: Cross multiply
    106,235.60x = 159,353.40 × 89,128.40
  4. Step 4: Simplify right side
    106,235.60x = 14,202,913,576.56
  5. Step 5: Solve for x
    x = 14,202,913,576.56/106,235.60
  6. Step 6: Final answer
    x = 133,692.60

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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.