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Finding the Fourth Proportional to 309,280.38, 463,935.90 and 96,193.42

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Solution

The fourth proportional to 309,280.38, 463,935.90 and 96,193.42 is: 144,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,280.38 : 463,935.90 = 96,193.42 : x
  2. Step 2: Convert to fraction form
    309,280.38/463,935.90 = 96,193.42/x
  3. Step 3: Cross multiply
    309,280.38x = 463,935.90 × 96,193.42
  4. Step 4: Simplify right side
    309,280.38x = 44,627,582,692.30
  5. Step 5: Solve for x
    x = 44,627,582,692.30/309,280.38
  6. Step 6: Final answer
    x = 144,294.91

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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.