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Finding the Fourth Proportional to 176,419.20, 264,321.60 and 114,057.60

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Solution

The fourth proportional to 176,419.20, 264,321.60 and 114,057.60 is: 170,887.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,419.20 : 264,321.60 = 114,057.60 : x
  2. Step 2: Convert to fraction form
    176,419.20/264,321.60 = 114,057.60/x
  3. Step 3: Cross multiply
    176,419.20x = 264,321.60 × 114,057.60
  4. Step 4: Simplify right side
    176,419.20x = 30,147,887,324.16
  5. Step 5: Solve for x
    x = 30,147,887,324.16/176,419.20
  6. Step 6: Final answer
    x = 170,887.79

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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.