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Finding the Fourth Proportional to 187,994, 281,960.76 and 54,842.96

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Solution

The fourth proportional to 187,994, 281,960.76 and 54,842.96 is: 82,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,994 : 281,960.76 = 54,842.96 : x
  2. Step 2: Convert to fraction form
    187,994/281,960.76 = 54,842.96/x
  3. Step 3: Cross multiply
    187,994x = 281,960.76 × 54,842.96
  4. Step 4: Simplify right side
    187,994x = 15,463,562,682.25
  5. Step 5: Solve for x
    x = 15,463,562,682.25/187,994
  6. Step 6: Final answer
    x = 82,255.62

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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.