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Finding the Fourth Proportional to 159,265.41, 219,780.75 and 87,638.73

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Solution

The fourth proportional to 159,265.41, 219,780.75 and 87,638.73 is: 120,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,265.41 : 219,780.75 = 87,638.73 : x
  2. Step 2: Convert to fraction form
    159,265.41/219,780.75 = 87,638.73/x
  3. Step 3: Cross multiply
    159,265.41x = 219,780.75 × 87,638.73
  4. Step 4: Simplify right side
    159,265.41x = 19,261,305,808.45
  5. Step 5: Solve for x
    x = 19,261,305,808.45/159,265.41
  6. Step 6: Final answer
    x = 120,938.41

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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.