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Finding the Fourth Proportional to 106,310.32, 146,707.56 and 58,562.56

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Solution

The fourth proportional to 106,310.32, 146,707.56 and 58,562.56 is: 80,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,310.32 : 146,707.56 = 58,562.56 : x
  2. Step 2: Convert to fraction form
    106,310.32/146,707.56 = 58,562.56/x
  3. Step 3: Cross multiply
    106,310.32x = 146,707.56 × 58,562.56
  4. Step 4: Simplify right side
    106,310.32x = 8,591,570,284.95
  5. Step 5: Solve for x
    x = 8,591,570,284.95/106,310.32
  6. Step 6: Final answer
    x = 80,815.96

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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.