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Finding the Fourth Proportional to 102,862.68, 141,943.83 and 57,532.82

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Solution

The fourth proportional to 102,862.68, 141,943.83 and 57,532.82 is: 79,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,862.68 : 141,943.83 = 57,532.82 : x
  2. Step 2: Convert to fraction form
    102,862.68/141,943.83 = 57,532.82/x
  3. Step 3: Cross multiply
    102,862.68x = 141,943.83 × 57,532.82
  4. Step 4: Simplify right side
    102,862.68x = 8,166,427,896.03
  5. Step 5: Solve for x
    x = 8,166,427,896.03/102,862.68
  6. Step 6: Final answer
    x = 79,391.56

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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.