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Finding the Fourth Proportional to 264,272.86, 364,696.78 and 143,414.15

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Solution

The fourth proportional to 264,272.86, 364,696.78 and 143,414.15 is: 197,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,272.86 : 364,696.78 = 143,414.15 : x
  2. Step 2: Convert to fraction form
    264,272.86/364,696.78 = 143,414.15/x
  3. Step 3: Cross multiply
    264,272.86x = 364,696.78 × 143,414.15
  4. Step 4: Simplify right side
    264,272.86x = 52,302,676,529.42
  5. Step 5: Solve for x
    x = 52,302,676,529.42/264,272.86
  6. Step 6: Final answer
    x = 197,911.65

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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.