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Finding the Fourth Proportional to 307,161.91, 460,711.72 and 82,493.16

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Solution

The fourth proportional to 307,161.91, 460,711.72 and 82,493.16 is: 123,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,161.91 : 460,711.72 = 82,493.16 : x
  2. Step 2: Convert to fraction form
    307,161.91/460,711.72 = 82,493.16/x
  3. Step 3: Cross multiply
    307,161.91x = 460,711.72 × 82,493.16
  4. Step 4: Simplify right side
    307,161.91x = 38,005,565,631.84
  5. Step 5: Solve for x
    x = 38,005,565,631.84/307,161.91
  6. Step 6: Final answer
    x = 123,731.38

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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.