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Finding the Fourth Proportional to 176,198.40, 264,243.60 and 57,842.40

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Solution

The fourth proportional to 176,198.40, 264,243.60 and 57,842.40 is: 86,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,198.40 : 264,243.60 = 57,842.40 : x
  2. Step 2: Convert to fraction form
    176,198.40/264,243.60 = 57,842.40/x
  3. Step 3: Cross multiply
    176,198.40x = 264,243.60 × 57,842.40
  4. Step 4: Simplify right side
    176,198.40x = 15,284,484,008.64
  5. Step 5: Solve for x
    x = 15,284,484,008.64/176,198.40
  6. Step 6: Final answer
    x = 86,745.87

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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.