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Finding the Fourth Proportional to 264,399.42, 364,871.20 and 143,540.53

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Solution

The fourth proportional to 264,399.42, 364,871.20 and 143,540.53 is: 198,085.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,399.42 : 364,871.20 = 143,540.53 : x
  2. Step 2: Convert to fraction form
    264,399.42/364,871.20 = 143,540.53/x
  3. Step 3: Cross multiply
    264,399.42x = 364,871.20 × 143,540.53
  4. Step 4: Simplify right side
    264,399.42x = 52,373,805,070.88
  5. Step 5: Solve for x
    x = 52,373,805,070.88/264,399.42
  6. Step 6: Final answer
    x = 198,085.93

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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.