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Finding the Fourth Proportional to 307,077.33, 460,632.50 and 96,731.73

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Solution

The fourth proportional to 307,077.33, 460,632.50 and 96,731.73 is: 145,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,077.33 : 460,632.50 = 96,731.73 : x
  2. Step 2: Convert to fraction form
    307,077.33/460,632.50 = 96,731.73/x
  3. Step 3: Cross multiply
    307,077.33x = 460,632.50 × 96,731.73
  4. Step 4: Simplify right side
    307,077.33x = 44,557,778,135.57
  5. Step 5: Solve for x
    x = 44,557,778,135.57/307,077.33
  6. Step 6: Final answer
    x = 145,102.79

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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.