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Finding the Fourth Proportional to 231,698.85, 319,771.35 and 141,107.91

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Solution

The fourth proportional to 231,698.85, 319,771.35 and 141,107.91 is: 194,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,698.85 : 319,771.35 = 141,107.91 : x
  2. Step 2: Convert to fraction form
    231,698.85/319,771.35 = 141,107.91/x
  3. Step 3: Cross multiply
    231,698.85x = 319,771.35 × 141,107.91
  4. Step 4: Simplify right side
    231,698.85x = 45,122,266,876.38
  5. Step 5: Solve for x
    x = 45,122,266,876.38/231,698.85
  6. Step 6: Final answer
    x = 194,745.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.