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Finding the Fourth Proportional to 180,034.16, 270,047.76 and 53,759.96

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Solution

The fourth proportional to 180,034.16, 270,047.76 and 53,759.96 is: 80,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,034.16 : 270,047.76 = 53,759.96 : x
  2. Step 2: Convert to fraction form
    180,034.16/270,047.76 = 53,759.96/x
  3. Step 3: Cross multiply
    180,034.16x = 270,047.76 × 53,759.96
  4. Step 4: Simplify right side
    180,034.16x = 14,517,756,236.53
  5. Step 5: Solve for x
    x = 14,517,756,236.53/180,034.16
  6. Step 6: Final answer
    x = 80,638.90

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Why These Related Problems?

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