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Finding the Fourth Proportional to 187,116.84, 258,220.80 and 102,234.54

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Solution

The fourth proportional to 187,116.84, 258,220.80 and 102,234.54 is: 141,083.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,116.84 : 258,220.80 = 102,234.54 : x
  2. Step 2: Convert to fraction form
    187,116.84/258,220.80 = 102,234.54/x
  3. Step 3: Cross multiply
    187,116.84x = 258,220.80 × 102,234.54
  4. Step 4: Simplify right side
    187,116.84x = 26,399,084,706.43
  5. Step 5: Solve for x
    x = 26,399,084,706.43/187,116.84
  6. Step 6: Final answer
    x = 141,083.43

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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.