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Finding the Fourth Proportional to 102,049.08, 140,733.48 and 63,796.44

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Solution

The fourth proportional to 102,049.08, 140,733.48 and 63,796.44 is: 87,980.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,049.08 : 140,733.48 = 63,796.44 : x
  2. Step 2: Convert to fraction form
    102,049.08/140,733.48 = 63,796.44/x
  3. Step 3: Cross multiply
    102,049.08x = 140,733.48 × 63,796.44
  4. Step 4: Simplify right side
    102,049.08x = 8,978,295,012.81
  5. Step 5: Solve for x
    x = 8,978,295,012.81/102,049.08
  6. Step 6: Final answer
    x = 87,980.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.