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Finding the Fourth Proportional to 176,163.53, 264,146.27 and 57,824.96

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Solution

The fourth proportional to 176,163.53, 264,146.27 and 57,824.96 is: 86,704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,163.53 : 264,146.27 = 57,824.96 : x
  2. Step 2: Convert to fraction form
    176,163.53/264,146.27 = 57,824.96/x
  3. Step 3: Cross multiply
    176,163.53x = 264,146.27 × 57,824.96
  4. Step 4: Simplify right side
    176,163.53x = 15,274,245,887.04
  5. Step 5: Solve for x
    x = 15,274,245,887.04/176,163.53
  6. Step 6: Final answer
    x = 86,704.93

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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.