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Finding the Fourth Proportional to 307,464.69, 461,172.42 and 136,739.27

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Solution

The fourth proportional to 307,464.69, 461,172.42 and 136,739.27 is: 205,097.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,464.69 : 461,172.42 = 136,739.27 : x
  2. Step 2: Convert to fraction form
    307,464.69/461,172.42 = 136,739.27/x
  3. Step 3: Cross multiply
    307,464.69x = 461,172.42 × 136,739.27
  4. Step 4: Simplify right side
    307,464.69x = 63,060,377,749.07
  5. Step 5: Solve for x
    x = 63,060,377,749.07/307,464.69
  6. Step 6: Final answer
    x = 205,097.95

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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.