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Finding the Fourth Proportional to 264,292.13, 364,723.32 and 143,433.38

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Solution

The fourth proportional to 264,292.13, 364,723.32 and 143,433.38 is: 197,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,292.13 : 364,723.32 = 143,433.38 : x
  2. Step 2: Convert to fraction form
    264,292.13/364,723.32 = 143,433.38/x
  3. Step 3: Cross multiply
    264,292.13x = 364,723.32 × 143,433.38
  4. Step 4: Simplify right side
    264,292.13x = 52,313,499,464.23
  5. Step 5: Solve for x
    x = 52,313,499,464.23/264,292.13
  6. Step 6: Final answer
    x = 197,938.17

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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.