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Finding the Fourth Proportional to 92,015.40, 138,023.10 and 82,392.60

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Solution

The fourth proportional to 92,015.40, 138,023.10 and 82,392.60 is: 123,588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,015.40 : 138,023.10 = 82,392.60 : x
  2. Step 2: Convert to fraction form
    92,015.40/138,023.10 = 82,392.60/x
  3. Step 3: Cross multiply
    92,015.40x = 138,023.10 × 82,392.60
  4. Step 4: Simplify right side
    92,015.40x = 11,372,082,069.06
  5. Step 5: Solve for x
    x = 11,372,082,069.06/92,015.40
  6. Step 6: Final answer
    x = 123,588.90

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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.