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Finding the Fourth Proportional to 307,672.04, 461,562.24 and 105,220.56

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Solution

The fourth proportional to 307,672.04, 461,562.24 and 105,220.56 is: 157,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,672.04 : 461,562.24 = 105,220.56 : x
  2. Step 2: Convert to fraction form
    307,672.04/461,562.24 = 105,220.56/x
  3. Step 3: Cross multiply
    307,672.04x = 461,562.24 × 105,220.56
  4. Step 4: Simplify right side
    307,672.04x = 48,565,837,367.65
  5. Step 5: Solve for x
    x = 48,565,837,367.65/307,672.04
  6. Step 6: Final answer
    x = 157,849.37

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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.