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Finding the Fourth Proportional to 105,871.74, 146,094.30 and 58,123.44

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Solution

The fourth proportional to 105,871.74, 146,094.30 and 58,123.44 is: 80,205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,871.74 : 146,094.30 = 58,123.44 : x
  2. Step 2: Convert to fraction form
    105,871.74/146,094.30 = 58,123.44/x
  3. Step 3: Cross multiply
    105,871.74x = 146,094.30 × 58,123.44
  4. Step 4: Simplify right side
    105,871.74x = 8,491,503,280.39
  5. Step 5: Solve for x
    x = 8,491,503,280.39/105,871.74
  6. Step 6: Final answer
    x = 80,205.57

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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.