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Finding the Fourth Proportional to 180,561.88, 270,842.64 and 54,202.06

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Solution

The fourth proportional to 180,561.88, 270,842.64 and 54,202.06 is: 81,303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,561.88 : 270,842.64 = 54,202.06 : x
  2. Step 2: Convert to fraction form
    180,561.88/270,842.64 = 54,202.06/x
  3. Step 3: Cross multiply
    180,561.88x = 270,842.64 × 54,202.06
  4. Step 4: Simplify right side
    180,561.88x = 14,680,229,023.84
  5. Step 5: Solve for x
    x = 14,680,229,023.84/180,561.88
  6. Step 6: Final answer
    x = 81,303.04

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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.