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Finding the Fourth Proportional to 307,156.38, 460,741.86 and 82,517.10

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Solution

The fourth proportional to 307,156.38, 460,741.86 and 82,517.10 is: 123,777.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,156.38 : 460,741.86 = 82,517.10 : x
  2. Step 2: Convert to fraction form
    307,156.38/460,741.86 = 82,517.10/x
  3. Step 3: Cross multiply
    307,156.38x = 460,741.86 × 82,517.10
  4. Step 4: Simplify right side
    307,156.38x = 38,019,082,135.81
  5. Step 5: Solve for x
    x = 38,019,082,135.81/307,156.38
  6. Step 6: Final answer
    x = 123,777.61

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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.