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Finding the Fourth Proportional to 105,932.44, 146,184.72 and 58,184.68

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Solution

The fourth proportional to 105,932.44, 146,184.72 and 58,184.68 is: 80,293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,932.44 : 146,184.72 = 58,184.68 : x
  2. Step 2: Convert to fraction form
    105,932.44/146,184.72 = 58,184.68/x
  3. Step 3: Cross multiply
    105,932.44x = 146,184.72 × 58,184.68
  4. Step 4: Simplify right side
    105,932.44x = 8,505,711,154.09
  5. Step 5: Solve for x
    x = 8,505,711,154.09/105,932.44
  6. Step 6: Final answer
    x = 80,293.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.