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Finding the Fourth Proportional to 231,996.24, 348,052.44 and 65,784.24

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Solution

The fourth proportional to 231,996.24, 348,052.44 and 65,784.24 is: 98,692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,996.24 : 348,052.44 = 65,784.24 : x
  2. Step 2: Convert to fraction form
    231,996.24/348,052.44 = 65,784.24/x
  3. Step 3: Cross multiply
    231,996.24x = 348,052.44 × 65,784.24
  4. Step 4: Simplify right side
    231,996.24x = 22,896,365,245.55
  5. Step 5: Solve for x
    x = 22,896,365,245.55/231,996.24
  6. Step 6: Final answer
    x = 98,692.83

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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.