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Finding the Fourth Proportional to 213,223.72, 319,899.48 and 63,469.24

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Solution

The fourth proportional to 213,223.72, 319,899.48 and 63,469.24 is: 95,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,223.72 : 319,899.48 = 63,469.24 : x
  2. Step 2: Convert to fraction form
    213,223.72/319,899.48 = 63,469.24/x
  3. Step 3: Cross multiply
    213,223.72x = 319,899.48 × 63,469.24
  4. Step 4: Simplify right side
    213,223.72x = 20,303,776,872.00
  5. Step 5: Solve for x
    x = 20,303,776,872.00/213,223.72
  6. Step 6: Final answer
    x = 95,222.88

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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.