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Finding the Fourth Proportional to 180,656.96, 270,999.46 and 54,287.34

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Solution

The fourth proportional to 180,656.96, 270,999.46 and 54,287.34 is: 81,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,656.96 : 270,999.46 = 54,287.34 : x
  2. Step 2: Convert to fraction form
    180,656.96/270,999.46 = 54,287.34/x
  3. Step 3: Cross multiply
    180,656.96x = 270,999.46 × 54,287.34
  4. Step 4: Simplify right side
    180,656.96x = 14,711,839,824.84
  5. Step 5: Solve for x
    x = 14,711,839,824.84/180,656.96
  6. Step 6: Final answer
    x = 81,435.22

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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.