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Finding the Fourth Proportional to 307,710.52, 461,771.92 and 108,031.48

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Solution

The fourth proportional to 307,710.52, 461,771.92 and 108,031.48 is: 162,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,710.52 : 461,771.92 = 108,031.48 : x
  2. Step 2: Convert to fraction form
    307,710.52/461,771.92 = 108,031.48/x
  3. Step 3: Cross multiply
    307,710.52x = 461,771.92 × 108,031.48
  4. Step 4: Simplify right side
    307,710.52x = 49,885,903,940.04
  5. Step 5: Solve for x
    x = 49,885,903,940.04/307,710.52
  6. Step 6: Final answer
    x = 162,119.59

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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.