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Finding the Fourth Proportional to 264,480.49, 364,981.92 and 143,620.78

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Solution

The fourth proportional to 264,480.49, 364,981.92 and 143,620.78 is: 198,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,480.49 : 364,981.92 = 143,620.78 : x
  2. Step 2: Convert to fraction form
    264,480.49/364,981.92 = 143,620.78/x
  3. Step 3: Cross multiply
    264,480.49x = 364,981.92 × 143,620.78
  4. Step 4: Simplify right side
    264,480.49x = 52,418,988,036.30
  5. Step 5: Solve for x
    x = 52,418,988,036.30/264,480.49
  6. Step 6: Final answer
    x = 198,196.05

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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.