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Finding the Fourth Proportional to 102,395.73, 141,288.99 and 57,063.78

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Solution

The fourth proportional to 102,395.73, 141,288.99 and 57,063.78 is: 78,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,395.73 : 141,288.99 = 57,063.78 : x
  2. Step 2: Convert to fraction form
    102,395.73/141,288.99 = 57,063.78/x
  3. Step 3: Cross multiply
    102,395.73x = 141,288.99 × 57,063.78
  4. Step 4: Simplify right side
    102,395.73x = 8,062,483,841.78
  5. Step 5: Solve for x
    x = 8,062,483,841.78/102,395.73
  6. Step 6: Final answer
    x = 78,738.48

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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.