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Finding the Fourth Proportional to 263,908, 364,216.08 and 144,699.04

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Solution

The fourth proportional to 263,908, 364,216.08 and 144,699.04 is: 199,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,908 : 364,216.08 = 144,699.04 : x
  2. Step 2: Convert to fraction form
    263,908/364,216.08 = 144,699.04/x
  3. Step 3: Cross multiply
    263,908x = 364,216.08 × 144,699.04
  4. Step 4: Simplify right side
    263,908x = 52,701,717,128.56
  5. Step 5: Solve for x
    x = 52,701,717,128.56/263,908
  6. Step 6: Final answer
    x = 199,697.31

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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.