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Finding the Fourth Proportional to 187,821.73, 259,193.49 and 101,783.11

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Solution

The fourth proportional to 187,821.73, 259,193.49 and 101,783.11 is: 140,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,821.73 : 259,193.49 = 101,783.11 : x
  2. Step 2: Convert to fraction form
    187,821.73/259,193.49 = 101,783.11/x
  3. Step 3: Cross multiply
    187,821.73x = 259,193.49 × 101,783.11
  4. Step 4: Simplify right side
    187,821.73x = 26,381,519,503.95
  5. Step 5: Solve for x
    x = 26,381,519,503.95/187,821.73
  6. Step 6: Final answer
    x = 140,460.42

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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.