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Finding the Fourth Proportional to 307,305.74, 461,174.08 and 127,393.94

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Solution

The fourth proportional to 307,305.74, 461,174.08 and 127,393.94 is: 191,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,305.74 : 461,174.08 = 127,393.94 : x
  2. Step 2: Convert to fraction form
    307,305.74/461,174.08 = 127,393.94/x
  3. Step 3: Cross multiply
    307,305.74x = 461,174.08 × 127,393.94
  4. Step 4: Simplify right side
    307,305.74x = 58,750,783,077.08
  5. Step 5: Solve for x
    x = 58,750,783,077.08/307,305.74
  6. Step 6: Final answer
    x = 191,180.23

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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.