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Finding the Fourth Proportional to 307,834.65, 461,798.15 and 108,119.84

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Solution

The fourth proportional to 307,834.65, 461,798.15 and 108,119.84 is: 162,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,834.65 : 461,798.15 = 108,119.84 : x
  2. Step 2: Convert to fraction form
    307,834.65/461,798.15 = 108,119.84/x
  3. Step 3: Cross multiply
    307,834.65x = 461,798.15 × 108,119.84
  4. Step 4: Simplify right side
    307,834.65x = 49,929,539,240.71
  5. Step 5: Solve for x
    x = 49,929,539,240.71/307,834.65
  6. Step 6: Final answer
    x = 162,195.97

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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.