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Finding the Fourth Proportional to 68,418.40, 102,781.20 and 65,807.20

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Solution

The fourth proportional to 68,418.40, 102,781.20 and 65,807.20 is: 98,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,418.40 : 102,781.20 = 65,807.20 : x
  2. Step 2: Convert to fraction form
    68,418.40/102,781.20 = 65,807.20/x
  3. Step 3: Cross multiply
    68,418.40x = 102,781.20 × 65,807.20
  4. Step 4: Simplify right side
    68,418.40x = 6,763,742,984.64
  5. Step 5: Solve for x
    x = 6,763,742,984.64/68,418.40
  6. Step 6: Final answer
    x = 98,858.54

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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.