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Finding the Fourth Proportional to 68,195.20, 102,292.80 and 57,697.60

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Solution

The fourth proportional to 68,195.20, 102,292.80 and 57,697.60 is: 86,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,195.20 : 102,292.80 = 57,697.60 : x
  2. Step 2: Convert to fraction form
    68,195.20/102,292.80 = 57,697.60/x
  3. Step 3: Cross multiply
    68,195.20x = 102,292.80 × 57,697.60
  4. Step 4: Simplify right side
    68,195.20x = 5,902,049,057.28
  5. Step 5: Solve for x
    x = 5,902,049,057.28/68,195.20
  6. Step 6: Final answer
    x = 86,546.40

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1.5x scale

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.