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Finding the Fourth Proportional to 187,714.84, 281,564.92 and 69,383.56

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Solution

The fourth proportional to 187,714.84, 281,564.92 and 69,383.56 is: 104,072.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,714.84 : 281,564.92 = 69,383.56 : x
  2. Step 2: Convert to fraction form
    187,714.84/281,564.92 = 69,383.56/x
  3. Step 3: Cross multiply
    187,714.84x = 281,564.92 × 69,383.56
  4. Step 4: Simplify right side
    187,714.84x = 19,535,976,520.72
  5. Step 5: Solve for x
    x = 19,535,976,520.72/187,714.84
  6. Step 6: Final answer
    x = 104,072.63

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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.