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Finding the Fourth Proportional to 176,115.68, 264,164.32 and 57,771.44

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Solution

The fourth proportional to 176,115.68, 264,164.32 and 57,771.44 is: 86,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,115.68 : 264,164.32 = 57,771.44 : x
  2. Step 2: Convert to fraction form
    176,115.68/264,164.32 = 57,771.44/x
  3. Step 3: Cross multiply
    176,115.68x = 264,164.32 × 57,771.44
  4. Step 4: Simplify right side
    176,115.68x = 15,261,153,163.02
  5. Step 5: Solve for x
    x = 15,261,153,163.02/176,115.68
  6. Step 6: Final answer
    x = 86,654.14

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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.