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Finding the Fourth Proportional to 307,523.88, 461,305.24 and 130,007.52

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Solution

The fourth proportional to 307,523.88, 461,305.24 and 130,007.52 is: 195,019.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,523.88 : 461,305.24 = 130,007.52 : x
  2. Step 2: Convert to fraction form
    307,523.88/461,305.24 = 130,007.52/x
  3. Step 3: Cross multiply
    307,523.88x = 461,305.24 × 130,007.52
  4. Step 4: Simplify right side
    307,523.88x = 59,973,150,215.40
  5. Step 5: Solve for x
    x = 59,973,150,215.40/307,523.88
  6. Step 6: Final answer
    x = 195,019.49

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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.