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Finding the Fourth Proportional to 307,077.83, 460,633.25 and 96,732.23

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Solution

The fourth proportional to 307,077.83, 460,633.25 and 96,732.23 is: 145,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,077.83 : 460,633.25 = 96,732.23 : x
  2. Step 2: Convert to fraction form
    307,077.83/460,633.25 = 96,732.23/x
  3. Step 3: Cross multiply
    307,077.83x = 460,633.25 × 96,732.23
  4. Step 4: Simplify right side
    307,077.83x = 44,558,081,000.99
  5. Step 5: Solve for x
    x = 44,558,081,000.99/307,077.83
  6. Step 6: Final answer
    x = 145,103.54

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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.