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Finding the Fourth Proportional to 231,824.80, 347,650.80 and 161,495.20

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Solution

The fourth proportional to 231,824.80, 347,650.80 and 161,495.20 is: 242,182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,824.80 : 347,650.80 = 161,495.20 : x
  2. Step 2: Convert to fraction form
    231,824.80/347,650.80 = 161,495.20/x
  3. Step 3: Cross multiply
    231,824.80x = 347,650.80 × 161,495.20
  4. Step 4: Simplify right side
    231,824.80x = 56,143,935,476.16
  5. Step 5: Solve for x
    x = 56,143,935,476.16/231,824.80
  6. Step 6: Final answer
    x = 242,182.61

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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.