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Finding the Fourth Proportional to 307,866.04, 461,868.24 and 108,200.20

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Solution

The fourth proportional to 307,866.04, 461,868.24 and 108,200.20 is: 162,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,866.04 : 461,868.24 = 108,200.20 : x
  2. Step 2: Convert to fraction form
    307,866.04/461,868.24 = 108,200.20/x
  3. Step 3: Cross multiply
    307,866.04x = 461,868.24 × 108,200.20
  4. Step 4: Simplify right side
    307,866.04x = 49,974,235,941.65
  5. Step 5: Solve for x
    x = 49,974,235,941.65/307,866.04
  6. Step 6: Final answer
    x = 162,324.61

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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.