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Finding the Fourth Proportional to 102,720.89, 141,768.90 and 59,112.54

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Solution

The fourth proportional to 102,720.89, 141,768.90 and 59,112.54 is: 81,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,720.89 : 141,768.90 = 59,112.54 : x
  2. Step 2: Convert to fraction form
    102,720.89/141,768.90 = 59,112.54/x
  3. Step 3: Cross multiply
    102,720.89x = 141,768.90 × 59,112.54
  4. Step 4: Simplify right side
    102,720.89x = 8,380,319,772.01
  5. Step 5: Solve for x
    x = 8,380,319,772.01/102,720.89
  6. Step 6: Final answer
    x = 81,583.41

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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.