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Finding the Fourth Proportional to 307,395.92, 461,134.20 and 120,383.12

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Solution

The fourth proportional to 307,395.92, 461,134.20 and 120,383.12 is: 180,590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,395.92 : 461,134.20 = 120,383.12 : x
  2. Step 2: Convert to fraction form
    307,395.92/461,134.20 = 120,383.12/x
  3. Step 3: Cross multiply
    307,395.92x = 461,134.20 × 120,383.12
  4. Step 4: Simplify right side
    307,395.92x = 55,512,773,734.70
  5. Step 5: Solve for x
    x = 55,512,773,734.70/307,395.92
  6. Step 6: Final answer
    x = 180,590.47

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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.