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Finding the Fourth Proportional to 92,246.89, 138,235.69 and 40,893.60

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Solution

The fourth proportional to 92,246.89, 138,235.69 and 40,893.60 is: 61,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,246.89 : 138,235.69 = 40,893.60 : x
  2. Step 2: Convert to fraction form
    92,246.89/138,235.69 = 40,893.60/x
  3. Step 3: Cross multiply
    92,246.89x = 138,235.69 × 40,893.60
  4. Step 4: Simplify right side
    92,246.89x = 5,652,955,012.58
  5. Step 5: Solve for x
    x = 5,652,955,012.58/92,246.89
  6. Step 6: Final answer
    x = 61,280.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.