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Finding the Fourth Proportional to 284,771.49, 427,821.63 and 166,526.07

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Solution

The fourth proportional to 284,771.49, 427,821.63 and 166,526.07 is: 250,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,771.49 : 427,821.63 = 166,526.07 : x
  2. Step 2: Convert to fraction form
    284,771.49/427,821.63 = 166,526.07/x
  3. Step 3: Cross multiply
    284,771.49x = 427,821.63 × 166,526.07
  4. Step 4: Simplify right side
    284,771.49x = 71,243,454,704.89
  5. Step 5: Solve for x
    x = 71,243,454,704.89/284,771.49
  6. Step 6: Final answer
    x = 250,177.62

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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.