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Finding the Fourth Proportional to 147,415.80, 220,861.26 and 68,392.20

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Solution

The fourth proportional to 147,415.80, 220,861.26 and 68,392.20 is: 102,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,415.80 : 220,861.26 = 68,392.20 : x
  2. Step 2: Convert to fraction form
    147,415.80/220,861.26 = 68,392.20/x
  3. Step 3: Cross multiply
    147,415.80x = 220,861.26 × 68,392.20
  4. Step 4: Simplify right side
    147,415.80x = 15,105,187,466.17
  5. Step 5: Solve for x
    x = 15,105,187,466.17/147,415.80
  6. Step 6: Final answer
    x = 102,466.54

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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.