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Finding the Fourth Proportional to 263,898, 364,179.24 and 144,666

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Solution

The fourth proportional to 263,898, 364,179.24 and 144,666 is: 199,639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,898 : 364,179.24 = 144,666 : x
  2. Step 2: Convert to fraction form
    263,898/364,179.24 = 144,666/x
  3. Step 3: Cross multiply
    263,898x = 364,179.24 × 144,666
  4. Step 4: Simplify right side
    263,898x = 52,684,353,933.84
  5. Step 5: Solve for x
    x = 52,684,353,933.84/263,898
  6. Step 6: Final answer
    x = 199,639.08

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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.