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Finding the Fourth Proportional to 106,821.45, 147,409.14 and 58,422.60

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Solution

The fourth proportional to 106,821.45, 147,409.14 and 58,422.60 is: 80,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,821.45 : 147,409.14 = 58,422.60 : x
  2. Step 2: Convert to fraction form
    106,821.45/147,409.14 = 58,422.60/x
  3. Step 3: Cross multiply
    106,821.45x = 147,409.14 × 58,422.60
  4. Step 4: Simplify right side
    106,821.45x = 8,612,025,222.56
  5. Step 5: Solve for x
    x = 8,612,025,222.56/106,821.45
  6. Step 6: Final answer
    x = 80,620.75

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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.