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Finding the Fourth Proportional to 180,457.41, 270,723.47 and 54,092.55

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Solution

The fourth proportional to 180,457.41, 270,723.47 and 54,092.55 is: 81,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,457.41 : 270,723.47 = 54,092.55 : x
  2. Step 2: Convert to fraction form
    180,457.41/270,723.47 = 54,092.55/x
  3. Step 3: Cross multiply
    180,457.41x = 270,723.47 × 54,092.55
  4. Step 4: Simplify right side
    180,457.41x = 14,644,122,837.15
  5. Step 5: Solve for x
    x = 14,644,122,837.15/180,457.41
  6. Step 6: Final answer
    x = 81,150.02

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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.