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Finding the Fourth Proportional to 180,116.68, 270,204.72 and 55,457.68

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Solution

The fourth proportional to 180,116.68, 270,204.72 and 55,457.68 is: 83,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,116.68 : 270,204.72 = 55,457.68 : x
  2. Step 2: Convert to fraction form
    180,116.68/270,204.72 = 55,457.68/x
  3. Step 3: Cross multiply
    180,116.68x = 270,204.72 × 55,457.68
  4. Step 4: Simplify right side
    180,116.68x = 14,984,926,896.25
  5. Step 5: Solve for x
    x = 14,984,926,896.25/180,116.68
  6. Step 6: Final answer
    x = 83,195.66

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1.5x scale

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.