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Finding the Fourth Proportional to 284,882.33, 427,165.75 and 116,520.89

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Solution

The fourth proportional to 284,882.33, 427,165.75 and 116,520.89 is: 174,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,882.33 : 427,165.75 = 116,520.89 : x
  2. Step 2: Convert to fraction form
    284,882.33/427,165.75 = 116,520.89/x
  3. Step 3: Cross multiply
    284,882.33x = 427,165.75 × 116,520.89
  4. Step 4: Simplify right side
    284,882.33x = 49,773,734,144.13
  5. Step 5: Solve for x
    x = 49,773,734,144.13/284,882.33
  6. Step 6: Final answer
    x = 174,716.82

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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.