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Finding the Fourth Proportional to 238,144, 328,638.72 and 132,160

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Solution

The fourth proportional to 238,144, 328,638.72 and 132,160 is: 182,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,144 : 328,638.72 = 132,160 : x
  2. Step 2: Convert to fraction form
    238,144/328,638.72 = 132,160/x
  3. Step 3: Cross multiply
    238,144x = 328,638.72 × 132,160
  4. Step 4: Simplify right side
    238,144x = 43,432,893,235.20
  5. Step 5: Solve for x
    x = 43,432,893,235.20/238,144
  6. Step 6: Final answer
    x = 182,380.80

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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.