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Finding the Fourth Proportional to 264,742.96, 365,347.59 and 143,884.22

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Solution

The fourth proportional to 264,742.96, 365,347.59 and 143,884.22 is: 198,561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,742.96 : 365,347.59 = 143,884.22 : x
  2. Step 2: Convert to fraction form
    264,742.96/365,347.59 = 143,884.22/x
  3. Step 3: Cross multiply
    264,742.96x = 365,347.59 × 143,884.22
  4. Step 4: Simplify right side
    264,742.96x = 52,567,753,016.03
  5. Step 5: Solve for x
    x = 52,567,753,016.03/264,742.96
  6. Step 6: Final answer
    x = 198,561.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.