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Finding the Fourth Proportional to 307,153.38, 460,737.36 and 82,514.10

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Solution

The fourth proportional to 307,153.38, 460,737.36 and 82,514.10 is: 123,773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,153.38 : 460,737.36 = 82,514.10 : x
  2. Step 2: Convert to fraction form
    307,153.38/460,737.36 = 82,514.10/x
  3. Step 3: Cross multiply
    307,153.38x = 460,737.36 × 82,514.10
  4. Step 4: Simplify right side
    307,153.38x = 38,017,328,596.78
  5. Step 5: Solve for x
    x = 38,017,328,596.78/307,153.38
  6. Step 6: Final answer
    x = 123,773.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.