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Finding the Fourth Proportional to 307,743, 461,614.50 and 86,127

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Solution

The fourth proportional to 307,743, 461,614.50 and 86,127 is: 129,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,743 : 461,614.50 = 86,127 : x
  2. Step 2: Convert to fraction form
    307,743/461,614.50 = 86,127/x
  3. Step 3: Cross multiply
    307,743x = 461,614.50 × 86,127
  4. Step 4: Simplify right side
    307,743x = 39,757,472,041.50
  5. Step 5: Solve for x
    x = 39,757,472,041.50/307,743
  6. Step 6: Final answer
    x = 129,190.50

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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.