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Finding the Fourth Proportional to 263,910, 364,218.84 and 144,701.04

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Solution

The fourth proportional to 263,910, 364,218.84 and 144,701.04 is: 199,700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,910 : 364,218.84 = 144,701.04 : x
  2. Step 2: Convert to fraction form
    263,910/364,218.84 = 144,701.04/x
  3. Step 3: Cross multiply
    263,910x = 364,218.84 × 144,701.04
  4. Step 4: Simplify right side
    263,910x = 52,702,844,935.59
  5. Step 5: Solve for x
    x = 52,702,844,935.59/263,910
  6. Step 6: Final answer
    x = 199,700.07

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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.