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Finding the Fourth Proportional to 102,137.24, 140,891.84 and 61,290.80

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Solution

The fourth proportional to 102,137.24, 140,891.84 and 61,290.80 is: 84,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,137.24 : 140,891.84 = 61,290.80 : x
  2. Step 2: Convert to fraction form
    102,137.24/140,891.84 = 61,290.80/x
  3. Step 3: Cross multiply
    102,137.24x = 140,891.84 × 61,290.80
  4. Step 4: Simplify right side
    102,137.24x = 8,635,373,587.07
  5. Step 5: Solve for x
    x = 8,635,373,587.07/102,137.24
  6. Step 6: Final answer
    x = 84,546.77

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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.