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Finding the Fourth Proportional to 102,229.49, 141,067.36 and 59,780.63

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Solution

The fourth proportional to 102,229.49, 141,067.36 and 59,780.63 is: 82,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,229.49 : 141,067.36 = 59,780.63 : x
  2. Step 2: Convert to fraction form
    102,229.49/141,067.36 = 59,780.63/x
  3. Step 3: Cross multiply
    102,229.49x = 141,067.36 × 59,780.63
  4. Step 4: Simplify right side
    102,229.49x = 8,433,095,653.24
  5. Step 5: Solve for x
    x = 8,433,095,653.24/102,229.49
  6. Step 6: Final answer
    x = 82,491.81

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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.