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Finding the Fourth Proportional to 159,257.30, 219,769.49 and 87,635.48

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Solution

The fourth proportional to 159,257.30, 219,769.49 and 87,635.48 is: 120,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,257.30 : 219,769.49 = 87,635.48 : x
  2. Step 2: Convert to fraction form
    159,257.30/219,769.49 = 87,635.48/x
  3. Step 3: Cross multiply
    159,257.30x = 219,769.49 × 87,635.48
  4. Step 4: Simplify right side
    159,257.30x = 19,259,604,307.33
  5. Step 5: Solve for x
    x = 19,259,604,307.33/159,257.30
  6. Step 6: Final answer
    x = 120,933.89

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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.