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Finding the Fourth Proportional to 307,761.24, 461,708.82 and 97,401

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Solution

The fourth proportional to 307,761.24, 461,708.82 and 97,401 is: 146,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,761.24 : 461,708.82 = 97,401 : x
  2. Step 2: Convert to fraction form
    307,761.24/461,708.82 = 97,401/x
  3. Step 3: Cross multiply
    307,761.24x = 461,708.82 × 97,401
  4. Step 4: Simplify right side
    307,761.24x = 44,970,900,776.82
  5. Step 5: Solve for x
    x = 44,970,900,776.82/307,761.24
  6. Step 6: Final answer
    x = 146,122.69

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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.