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Finding the Fourth Proportional to 105,846.30, 146,069.55 and 58,104

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Solution

The fourth proportional to 105,846.30, 146,069.55 and 58,104 is: 80,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,846.30 : 146,069.55 = 58,104 : x
  2. Step 2: Convert to fraction form
    105,846.30/146,069.55 = 58,104/x
  3. Step 3: Cross multiply
    105,846.30x = 146,069.55 × 58,104
  4. Step 4: Simplify right side
    105,846.30x = 8,487,225,133.20
  5. Step 5: Solve for x
    x = 8,487,225,133.20/105,846.30
  6. Step 6: Final answer
    x = 80,184.43

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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.