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Finding the Fourth Proportional to 321,123.84, 443,150.91 and 177,893.16

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Solution

The fourth proportional to 321,123.84, 443,150.91 and 177,893.16 is: 245,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,123.84 : 443,150.91 = 177,893.16 : x
  2. Step 2: Convert to fraction form
    321,123.84/443,150.91 = 177,893.16/x
  3. Step 3: Cross multiply
    321,123.84x = 443,150.91 × 177,893.16
  4. Step 4: Simplify right side
    321,123.84x = 78,833,515,736.78
  5. Step 5: Solve for x
    x = 78,833,515,736.78/321,123.84
  6. Step 6: Final answer
    x = 245,492.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.