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Finding the Fourth Proportional to 105,937.16, 146,194.16 and 58,191.58

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Solution

The fourth proportional to 105,937.16, 146,194.16 and 58,191.58 is: 80,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,937.16 : 146,194.16 = 58,191.58 : x
  2. Step 2: Convert to fraction form
    105,937.16/146,194.16 = 58,191.58/x
  3. Step 3: Cross multiply
    105,937.16x = 146,194.16 × 58,191.58
  4. Step 4: Simplify right side
    105,937.16x = 8,507,268,500.73
  5. Step 5: Solve for x
    x = 8,507,268,500.73/105,937.16
  6. Step 6: Final answer
    x = 80,304.86

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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.