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Finding the Fourth Proportional to 263,906, 364,213.32 and 144,697.04

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Solution

The fourth proportional to 263,906, 364,213.32 and 144,697.04 is: 199,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,906 : 364,213.32 = 144,697.04 : x
  2. Step 2: Convert to fraction form
    263,906/364,213.32 = 144,697.04/x
  3. Step 3: Cross multiply
    263,906x = 364,213.32 × 144,697.04
  4. Step 4: Simplify right side
    263,906x = 52,700,589,332.57
  5. Step 5: Solve for x
    x = 52,700,589,332.57/263,906
  6. Step 6: Final answer
    x = 199,694.55

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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.