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Finding the Fourth Proportional to 135,902.74, 187,550.52 and 75,474.38

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Solution

The fourth proportional to 135,902.74, 187,550.52 and 75,474.38 is: 104,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,902.74 : 187,550.52 = 75,474.38 : x
  2. Step 2: Convert to fraction form
    135,902.74/187,550.52 = 75,474.38/x
  3. Step 3: Cross multiply
    135,902.74x = 187,550.52 × 75,474.38
  4. Step 4: Simplify right side
    135,902.74x = 14,155,258,838.31
  5. Step 5: Solve for x
    x = 14,155,258,838.31/135,902.74
  6. Step 6: Final answer
    x = 104,157.27

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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.