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Finding the Fourth Proportional to 102,524.56, 141,484 and 60,083.14

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Solution

The fourth proportional to 102,524.56, 141,484 and 60,083.14 is: 82,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,524.56 : 141,484 = 60,083.14 : x
  2. Step 2: Convert to fraction form
    102,524.56/141,484 = 60,083.14/x
  3. Step 3: Cross multiply
    102,524.56x = 141,484 × 60,083.14
  4. Step 4: Simplify right side
    102,524.56x = 8,500,802,979.76
  5. Step 5: Solve for x
    x = 8,500,802,979.76/102,524.56
  6. Step 6: Final answer
    x = 82,914.80

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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.