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Finding the Fourth Proportional to 102,100.94, 140,878.65 and 59,651.27

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Solution

The fourth proportional to 102,100.94, 140,878.65 and 59,651.27 is: 82,306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,100.94 : 140,878.65 = 59,651.27 : x
  2. Step 2: Convert to fraction form
    102,100.94/140,878.65 = 59,651.27/x
  3. Step 3: Cross multiply
    102,100.94x = 140,878.65 × 59,651.27
  4. Step 4: Simplify right side
    102,100.94x = 8,403,590,388.39
  5. Step 5: Solve for x
    x = 8,403,590,388.39/102,100.94
  6. Step 6: Final answer
    x = 82,306.69

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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.