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Finding the Fourth Proportional to 307,703.38, 461,761.24 and 108,024.36

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Solution

The fourth proportional to 307,703.38, 461,761.24 and 108,024.36 is: 162,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,703.38 : 461,761.24 = 108,024.36 : x
  2. Step 2: Convert to fraction form
    307,703.38/461,761.24 = 108,024.36/x
  3. Step 3: Cross multiply
    307,703.38x = 461,761.24 × 108,024.36
  4. Step 4: Simplify right side
    307,703.38x = 49,881,460,422.14
  5. Step 5: Solve for x
    x = 49,881,460,422.14/307,703.38
  6. Step 6: Final answer
    x = 162,108.91

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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.