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Finding the Fourth Proportional to 135,507.18, 186,997.48 and 75,076.61

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Solution

The fourth proportional to 135,507.18, 186,997.48 and 75,076.61 is: 103,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,507.18 : 186,997.48 = 75,076.61 : x
  2. Step 2: Convert to fraction form
    135,507.18/186,997.48 = 75,076.61/x
  3. Step 3: Cross multiply
    135,507.18x = 186,997.48 × 75,076.61
  4. Step 4: Simplify right side
    135,507.18x = 14,039,136,876.94
  5. Step 5: Solve for x
    x = 14,039,136,876.94/135,507.18
  6. Step 6: Final answer
    x = 103,604.38

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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.