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Finding the Fourth Proportional to 102,693.41, 141,716.89 and 57,371.41

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Solution

The fourth proportional to 102,693.41, 141,716.89 and 57,371.41 is: 79,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,693.41 : 141,716.89 = 57,371.41 : x
  2. Step 2: Convert to fraction form
    102,693.41/141,716.89 = 57,371.41/x
  3. Step 3: Cross multiply
    102,693.41x = 141,716.89 × 57,371.41
  4. Step 4: Simplify right side
    102,693.41x = 8,130,497,251.82
  5. Step 5: Solve for x
    x = 8,130,497,251.82/102,693.41
  6. Step 6: Final answer
    x = 79,172.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.