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Finding the Fourth Proportional to 102,821.88, 141,891.54 and 56,883.22

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Solution

The fourth proportional to 102,821.88, 141,891.54 and 56,883.22 is: 78,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,821.88 : 141,891.54 = 56,883.22 : x
  2. Step 2: Convert to fraction form
    102,821.88/141,891.54 = 56,883.22/x
  3. Step 3: Cross multiply
    102,821.88x = 141,891.54 × 56,883.22
  4. Step 4: Simplify right side
    102,821.88x = 8,071,247,982.57
  5. Step 5: Solve for x
    x = 8,071,247,982.57/102,821.88
  6. Step 6: Final answer
    x = 78,497.37

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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.