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Finding the Fourth Proportional to 381,476.82, 572,096.16 and 132,100.50

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Solution

The fourth proportional to 381,476.82, 572,096.16 and 132,100.50 is: 198,109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,476.82 : 572,096.16 = 132,100.50 : x
  2. Step 2: Convert to fraction form
    381,476.82/572,096.16 = 132,100.50/x
  3. Step 3: Cross multiply
    381,476.82x = 572,096.16 × 132,100.50
  4. Step 4: Simplify right side
    381,476.82x = 75,574,188,784.08
  5. Step 5: Solve for x
    x = 75,574,188,784.08/381,476.82
  6. Step 6: Final answer
    x = 198,109.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.