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Finding the Fourth Proportional to 227,052.40, 339,995.40 and 180,007.60

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Solution

The fourth proportional to 227,052.40, 339,995.40 and 180,007.60 is: 269,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,052.40 : 339,995.40 = 180,007.60 : x
  2. Step 2: Convert to fraction form
    227,052.40/339,995.40 = 180,007.60/x
  3. Step 3: Cross multiply
    227,052.40x = 339,995.40 × 180,007.60
  4. Step 4: Simplify right side
    227,052.40x = 61,201,755,965.04
  5. Step 5: Solve for x
    x = 61,201,755,965.04/227,052.40
  6. Step 6: Final answer
    x = 269,549.04

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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.