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Finding the Fourth Proportional to 106,311.96, 146,705.04 and 58,564.08

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Solution

The fourth proportional to 106,311.96, 146,705.04 and 58,564.08 is: 80,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,311.96 : 146,705.04 = 58,564.08 : x
  2. Step 2: Convert to fraction form
    106,311.96/146,705.04 = 58,564.08/x
  3. Step 3: Cross multiply
    106,311.96x = 146,705.04 × 58,564.08
  4. Step 4: Simplify right side
    106,311.96x = 8,591,645,698.96
  5. Step 5: Solve for x
    x = 8,591,645,698.96/106,311.96
  6. Step 6: Final answer
    x = 80,815.42

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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.