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Finding the Fourth Proportional to 187,667, 258,982.29 and 112,215.50

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Solution

The fourth proportional to 187,667, 258,982.29 and 112,215.50 is: 154,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,667 : 258,982.29 = 112,215.50 : x
  2. Step 2: Convert to fraction form
    187,667/258,982.29 = 112,215.50/x
  3. Step 3: Cross multiply
    187,667x = 258,982.29 × 112,215.50
  4. Step 4: Simplify right side
    187,667x = 29,061,826,602.42
  5. Step 5: Solve for x
    x = 29,061,826,602.42/187,667
  6. Step 6: Final answer
    x = 154,858.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.