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Finding the Fourth Proportional to 180,457.74, 270,685.40 and 141,048

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Solution

The fourth proportional to 180,457.74, 270,685.40 and 141,048 is: 211,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,457.74 : 270,685.40 = 141,048 : x
  2. Step 2: Convert to fraction form
    180,457.74/270,685.40 = 141,048/x
  3. Step 3: Cross multiply
    180,457.74x = 270,685.40 × 141,048
  4. Step 4: Simplify right side
    180,457.74x = 38,179,633,593.96
  5. Step 5: Solve for x
    x = 38,179,633,593.96/180,457.74
  6. Step 6: Final answer
    x = 211,571.05

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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.