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Finding the Fourth Proportional to 105,880.46, 158,723.21 and 45,871.22

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Solution

The fourth proportional to 105,880.46, 158,723.21 and 45,871.22 is: 68,764.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,880.46 : 158,723.21 = 45,871.22 : x
  2. Step 2: Convert to fraction form
    105,880.46/158,723.21 = 45,871.22/x
  3. Step 3: Cross multiply
    105,880.46x = 158,723.21 × 45,871.22
  4. Step 4: Simplify right side
    105,880.46x = 7,280,827,796.50
  5. Step 5: Solve for x
    x = 7,280,827,796.50/105,880.46
  6. Step 6: Final answer
    x = 68,764.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.