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Finding the Fourth Proportional to 263,888, 364,188.48 and 144,679.04

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Solution

The fourth proportional to 263,888, 364,188.48 and 144,679.04 is: 199,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,888 : 364,188.48 = 144,679.04 : x
  2. Step 2: Convert to fraction form
    263,888/364,188.48 = 144,679.04/x
  3. Step 3: Cross multiply
    263,888x = 364,188.48 × 144,679.04
  4. Step 4: Simplify right side
    263,888x = 52,690,439,665.46
  5. Step 5: Solve for x
    x = 52,690,439,665.46/263,888
  6. Step 6: Final answer
    x = 199,669.71

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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.