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Finding the Fourth Proportional to 437,633.27, 656,450.06 and 138,144.14

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Solution

The fourth proportional to 437,633.27, 656,450.06 and 138,144.14 is: 207,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,633.27 : 656,450.06 = 138,144.14 : x
  2. Step 2: Convert to fraction form
    437,633.27/656,450.06 = 138,144.14/x
  3. Step 3: Cross multiply
    437,633.27x = 656,450.06 × 138,144.14
  4. Step 4: Simplify right side
    437,633.27x = 90,684,728,991.65
  5. Step 5: Solve for x
    x = 90,684,728,991.65/437,633.27
  6. Step 6: Final answer
    x = 207,216.26

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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.