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Finding the Fourth Proportional to 135,589.34, 187,113.30 and 75,973.34

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Solution

The fourth proportional to 135,589.34, 187,113.30 and 75,973.34 is: 104,843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,589.34 : 187,113.30 = 75,973.34 : x
  2. Step 2: Convert to fraction form
    135,589.34/187,113.30 = 75,973.34/x
  3. Step 3: Cross multiply
    135,589.34x = 187,113.30 × 75,973.34
  4. Step 4: Simplify right side
    135,589.34x = 14,215,622,359.42
  5. Step 5: Solve for x
    x = 14,215,622,359.42/135,589.34
  6. Step 6: Final answer
    x = 104,843.22

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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.