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Finding the Fourth Proportional to 68,734.20, 103,133.70 and 51,238.20

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Solution

The fourth proportional to 68,734.20, 103,133.70 and 51,238.20 is: 76,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,734.20 : 103,133.70 = 51,238.20 : x
  2. Step 2: Convert to fraction form
    68,734.20/103,133.70 = 51,238.20/x
  3. Step 3: Cross multiply
    68,734.20x = 103,133.70 × 51,238.20
  4. Step 4: Simplify right side
    68,734.20x = 5,284,385,147.34
  5. Step 5: Solve for x
    x = 5,284,385,147.34/68,734.20
  6. Step 6: Final answer
    x = 76,881.45

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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.