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Finding the Fourth Proportional to 307,733.80, 461,802.53 and 108,049.04

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Solution

The fourth proportional to 307,733.80, 461,802.53 and 108,049.04 is: 162,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,733.80 : 461,802.53 = 108,049.04 : x
  2. Step 2: Convert to fraction form
    307,733.80/461,802.53 = 108,049.04/x
  3. Step 3: Cross multiply
    307,733.80x = 461,802.53 × 108,049.04
  4. Step 4: Simplify right side
    307,733.80x = 49,897,321,460.70
  5. Step 5: Solve for x
    x = 49,897,321,460.70/307,733.80
  6. Step 6: Final answer
    x = 162,144.43

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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.