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Finding the Fourth Proportional to 264,137.63, 364,508.73 and 143,278.97

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Solution

The fourth proportional to 264,137.63, 364,508.73 and 143,278.97 is: 197,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,137.63 : 364,508.73 = 143,278.97 : x
  2. Step 2: Convert to fraction form
    264,137.63/364,508.73 = 143,278.97/x
  3. Step 3: Cross multiply
    264,137.63x = 364,508.73 × 143,278.97
  4. Step 4: Simplify right side
    264,137.63x = 52,226,433,567.86
  5. Step 5: Solve for x
    x = 52,226,433,567.86/264,137.63
  6. Step 6: Final answer
    x = 197,724.32

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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.