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Finding the Fourth Proportional to 175,486.84, 263,257.79 and 75,675.40

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Solution

The fourth proportional to 175,486.84, 263,257.79 and 75,675.40 is: 113,524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,486.84 : 263,257.79 = 75,675.40 : x
  2. Step 2: Convert to fraction form
    175,486.84/263,257.79 = 75,675.40/x
  3. Step 3: Cross multiply
    175,486.84x = 263,257.79 × 75,675.40
  4. Step 4: Simplify right side
    175,486.84x = 19,922,138,561.37
  5. Step 5: Solve for x
    x = 19,922,138,561.37/175,486.84
  6. Step 6: Final answer
    x = 113,524.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.