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Finding the Fourth Proportional to 187,894.50, 259,430.49 and 120,943.14

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Solution

The fourth proportional to 187,894.50, 259,430.49 and 120,943.14 is: 166,989.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,894.50 : 259,430.49 = 120,943.14 : x
  2. Step 2: Convert to fraction form
    187,894.50/259,430.49 = 120,943.14/x
  3. Step 3: Cross multiply
    187,894.50x = 259,430.49 × 120,943.14
  4. Step 4: Simplify right side
    187,894.50x = 31,376,338,072.34
  5. Step 5: Solve for x
    x = 31,376,338,072.34/187,894.50
  6. Step 6: Final answer
    x = 166,989.12

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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.