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Finding the Fourth Proportional to 269,234.56, 403,851.84 and 91,650.16

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Solution

The fourth proportional to 269,234.56, 403,851.84 and 91,650.16 is: 137,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,234.56 : 403,851.84 = 91,650.16 : x
  2. Step 2: Convert to fraction form
    269,234.56/403,851.84 = 91,650.16/x
  3. Step 3: Cross multiply
    269,234.56x = 403,851.84 × 91,650.16
  4. Step 4: Simplify right side
    269,234.56x = 37,013,085,752.29
  5. Step 5: Solve for x
    x = 37,013,085,752.29/269,234.56
  6. Step 6: Final answer
    x = 137,475.24

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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.