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Finding the Fourth Proportional to 135,877.85, 187,519.76 and 78,519.22

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Solution

The fourth proportional to 135,877.85, 187,519.76 and 78,519.22 is: 108,361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,877.85 : 187,519.76 = 78,519.22 : x
  2. Step 2: Convert to fraction form
    135,877.85/187,519.76 = 78,519.22/x
  3. Step 3: Cross multiply
    135,877.85x = 187,519.76 × 78,519.22
  4. Step 4: Simplify right side
    135,877.85x = 14,723,905,777.64
  5. Step 5: Solve for x
    x = 14,723,905,777.64/135,877.85
  6. Step 6: Final answer
    x = 108,361.34

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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.