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Finding the Fourth Proportional to 68,657.20, 102,784.20 and 51,204.40

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Solution

The fourth proportional to 68,657.20, 102,784.20 and 51,204.40 is: 76,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,657.20 : 102,784.20 = 51,204.40 : x
  2. Step 2: Convert to fraction form
    68,657.20/102,784.20 = 51,204.40/x
  3. Step 3: Cross multiply
    68,657.20x = 102,784.20 × 51,204.40
  4. Step 4: Simplify right side
    68,657.20x = 5,263,003,290.48
  5. Step 5: Solve for x
    x = 5,263,003,290.48/68,657.20
  6. Step 6: Final answer
    x = 76,656.25

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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.