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Finding the Fourth Proportional to 135,230.16, 202,848.30 and 41,736

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Solution

The fourth proportional to 135,230.16, 202,848.30 and 41,736 is: 62,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,230.16 : 202,848.30 = 41,736 : x
  2. Step 2: Convert to fraction form
    135,230.16/202,848.30 = 41,736/x
  3. Step 3: Cross multiply
    135,230.16x = 202,848.30 × 41,736
  4. Step 4: Simplify right side
    135,230.16x = 8,466,076,648.80
  5. Step 5: Solve for x
    x = 8,466,076,648.80/135,230.16
  6. Step 6: Final answer
    x = 62,604.94

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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.