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Finding the Fourth Proportional to 256,046.40, 383,551.20 and 145,108.80

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Solution

The fourth proportional to 256,046.40, 383,551.20 and 145,108.80 is: 217,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,046.40 : 383,551.20 = 145,108.80 : x
  2. Step 2: Convert to fraction form
    256,046.40/383,551.20 = 145,108.80/x
  3. Step 3: Cross multiply
    256,046.40x = 383,551.20 × 145,108.80
  4. Step 4: Simplify right side
    256,046.40x = 55,656,654,370.56
  5. Step 5: Solve for x
    x = 55,656,654,370.56/256,046.40
  6. Step 6: Final answer
    x = 217,369.41

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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.