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Finding the Fourth Proportional to 102,166.94, 140,986.84 and 56,222.30

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Solution

The fourth proportional to 102,166.94, 140,986.84 and 56,222.30 is: 77,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,166.94 : 140,986.84 = 56,222.30 : x
  2. Step 2: Convert to fraction form
    102,166.94/140,986.84 = 56,222.30/x
  3. Step 3: Cross multiply
    102,166.94x = 140,986.84 × 56,222.30
  4. Step 4: Simplify right side
    102,166.94x = 7,926,604,414.53
  5. Step 5: Solve for x
    x = 7,926,604,414.53/102,166.94
  6. Step 6: Final answer
    x = 77,584.83

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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.