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Finding the Fourth Proportional to 180,644.09, 270,980.16 and 54,274.47

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Solution

The fourth proportional to 180,644.09, 270,980.16 and 54,274.47 is: 81,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,644.09 : 270,980.16 = 54,274.47 : x
  2. Step 2: Convert to fraction form
    180,644.09/270,980.16 = 54,274.47/x
  3. Step 3: Cross multiply
    180,644.09x = 270,980.16 × 54,274.47
  4. Step 4: Simplify right side
    180,644.09x = 14,707,304,564.52
  5. Step 5: Solve for x
    x = 14,707,304,564.52/180,644.09
  6. Step 6: Final answer
    x = 81,415.92

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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.