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Finding the Fourth Proportional to 100,539.64, 138,704.94 and 58,090.36

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Solution

The fourth proportional to 100,539.64, 138,704.94 and 58,090.36 is: 80,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,539.64 : 138,704.94 = 58,090.36 : x
  2. Step 2: Convert to fraction form
    100,539.64/138,704.94 = 58,090.36/x
  3. Step 3: Cross multiply
    100,539.64x = 138,704.94 × 58,090.36
  4. Step 4: Simplify right side
    100,539.64x = 8,057,419,898.38
  5. Step 5: Solve for x
    x = 8,057,419,898.38/100,539.64
  6. Step 6: Final answer
    x = 80,141.72

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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.