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Finding the Fourth Proportional to 264,292.38, 364,723.67 and 143,433.63

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Solution

The fourth proportional to 264,292.38, 364,723.67 and 143,433.63 is: 197,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,292.38 : 364,723.67 = 143,433.63 : x
  2. Step 2: Convert to fraction form
    264,292.38/364,723.67 = 143,433.63/x
  3. Step 3: Cross multiply
    264,292.38x = 364,723.67 × 143,433.63
  4. Step 4: Simplify right side
    264,292.38x = 52,313,639,935.02
  5. Step 5: Solve for x
    x = 52,313,639,935.02/264,292.38
  6. Step 6: Final answer
    x = 197,938.51

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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.