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Finding the Fourth Proportional to 102,546.75, 141,514.52 and 57,843.39

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Solution

The fourth proportional to 102,546.75, 141,514.52 and 57,843.39 is: 79,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,546.75 : 141,514.52 = 57,843.39 : x
  2. Step 2: Convert to fraction form
    102,546.75/141,514.52 = 57,843.39/x
  3. Step 3: Cross multiply
    102,546.75x = 141,514.52 × 57,843.39
  4. Step 4: Simplify right side
    102,546.75x = 8,185,679,281.81
  5. Step 5: Solve for x
    x = 8,185,679,281.81/102,546.75
  6. Step 6: Final answer
    x = 79,823.88

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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.