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Finding the Fourth Proportional to 231,393.84, 347,412 and 119,154.30

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Solution

The fourth proportional to 231,393.84, 347,412 and 119,154.30 is: 178,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,393.84 : 347,412 = 119,154.30 : x
  2. Step 2: Convert to fraction form
    231,393.84/347,412 = 119,154.30/x
  3. Step 3: Cross multiply
    231,393.84x = 347,412 × 119,154.30
  4. Step 4: Simplify right side
    231,393.84x = 41,395,633,671.60
  5. Step 5: Solve for x
    x = 41,395,633,671.60/231,393.84
  6. Step 6: Final answer
    x = 178,896.87

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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.