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Finding the Fourth Proportional to 180,087.46, 270,146.53 and 53,719.56

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Solution

The fourth proportional to 180,087.46, 270,146.53 and 53,719.56 is: 80,583.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,087.46 : 270,146.53 = 53,719.56 : x
  2. Step 2: Convert to fraction form
    180,087.46/270,146.53 = 53,719.56/x
  3. Step 3: Cross multiply
    180,087.46x = 270,146.53 × 53,719.56
  4. Step 4: Simplify right side
    180,087.46x = 14,512,152,727.13
  5. Step 5: Solve for x
    x = 14,512,152,727.13/180,087.46
  6. Step 6: Final answer
    x = 80,583.92

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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.