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Finding the Fourth Proportional to 105,958.17, 146,222.34 and 58,214.60

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Solution

The fourth proportional to 105,958.17, 146,222.34 and 58,214.60 is: 80,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,958.17 : 146,222.34 = 58,214.60 : x
  2. Step 2: Convert to fraction form
    105,958.17/146,222.34 = 58,214.60/x
  3. Step 3: Cross multiply
    105,958.17x = 146,222.34 × 58,214.60
  4. Step 4: Simplify right side
    105,958.17x = 8,512,274,303.05
  5. Step 5: Solve for x
    x = 8,512,274,303.05/105,958.17
  6. Step 6: Final answer
    x = 80,336.18

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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.