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Finding the Fourth Proportional to 180,256.84, 270,217.92 and 85,531.56

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Solution

The fourth proportional to 180,256.84, 270,217.92 and 85,531.56 is: 128,217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,256.84 : 270,217.92 = 85,531.56 : x
  2. Step 2: Convert to fraction form
    180,256.84/270,217.92 = 85,531.56/x
  3. Step 3: Cross multiply
    180,256.84x = 270,217.92 × 85,531.56
  4. Step 4: Simplify right side
    180,256.84x = 23,112,160,237.56
  5. Step 5: Solve for x
    x = 23,112,160,237.56/180,256.84
  6. Step 6: Final answer
    x = 128,217.94

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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.