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Finding the Fourth Proportional to 102,564.82, 141,546.54 and 57,251.62

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Solution

The fourth proportional to 102,564.82, 141,546.54 and 57,251.62 is: 79,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,564.82 : 141,546.54 = 57,251.62 : x
  2. Step 2: Convert to fraction form
    102,564.82/141,546.54 = 57,251.62/x
  3. Step 3: Cross multiply
    102,564.82x = 141,546.54 × 57,251.62
  4. Step 4: Simplify right side
    102,564.82x = 8,103,769,112.02
  5. Step 5: Solve for x
    x = 8,103,769,112.02/102,564.82
  6. Step 6: Final answer
    x = 79,011.20

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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.