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Finding the Fourth Proportional to 264,820.86, 365,448.49 and 143,965.19

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Solution

The fourth proportional to 264,820.86, 365,448.49 and 143,965.19 is: 198,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,820.86 : 365,448.49 = 143,965.19 : x
  2. Step 2: Convert to fraction form
    264,820.86/365,448.49 = 143,965.19/x
  3. Step 3: Cross multiply
    264,820.86x = 365,448.49 × 143,965.19
  4. Step 4: Simplify right side
    264,820.86x = 52,611,861,851.77
  5. Step 5: Solve for x
    x = 52,611,861,851.77/264,820.86
  6. Step 6: Final answer
    x = 198,669.63

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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.