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Finding the Fourth Proportional to 105,992.92, 146,267.28 and 58,246.30

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Solution

The fourth proportional to 105,992.92, 146,267.28 and 58,246.30 is: 80,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,992.92 : 146,267.28 = 58,246.30 : x
  2. Step 2: Convert to fraction form
    105,992.92/146,267.28 = 58,246.30/x
  3. Step 3: Cross multiply
    105,992.92x = 146,267.28 × 58,246.30
  4. Step 4: Simplify right side
    105,992.92x = 8,519,527,871.06
  5. Step 5: Solve for x
    x = 8,519,527,871.06/105,992.92
  6. Step 6: Final answer
    x = 80,378.27

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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.