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Finding the Fourth Proportional to 187,994.72, 281,926.41 and 75,645.77

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Solution

The fourth proportional to 187,994.72, 281,926.41 and 75,645.77 is: 113,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,994.72 : 281,926.41 = 75,645.77 : x
  2. Step 2: Convert to fraction form
    187,994.72/281,926.41 = 75,645.77/x
  3. Step 3: Cross multiply
    187,994.72x = 281,926.41 × 75,645.77
  4. Step 4: Simplify right side
    187,994.72x = 21,326,538,674.48
  5. Step 5: Solve for x
    x = 21,326,538,674.48/187,994.72
  6. Step 6: Final answer
    x = 113,442.22

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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.