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Finding the Fourth Proportional to 264,820.28, 365,454.36 and 143,961.80

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Solution

The fourth proportional to 264,820.28, 365,454.36 and 143,961.80 is: 198,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,820.28 : 365,454.36 = 143,961.80 : x
  2. Step 2: Convert to fraction form
    264,820.28/365,454.36 = 143,961.80/x
  3. Step 3: Cross multiply
    264,820.28x = 365,454.36 × 143,961.80
  4. Step 4: Simplify right side
    264,820.28x = 52,611,465,656.18
  5. Step 5: Solve for x
    x = 52,611,465,656.18/264,820.28
  6. Step 6: Final answer
    x = 198,668.57

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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.