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Finding the Fourth Proportional to 263,474, 363,594.12 and 144,242

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Solution

The fourth proportional to 263,474, 363,594.12 and 144,242 is: 199,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,474 : 363,594.12 = 144,242 : x
  2. Step 2: Convert to fraction form
    263,474/363,594.12 = 144,242/x
  3. Step 3: Cross multiply
    263,474x = 363,594.12 × 144,242
  4. Step 4: Simplify right side
    263,474x = 52,445,543,057.04
  5. Step 5: Solve for x
    x = 52,445,543,057.04/263,474
  6. Step 6: Final answer
    x = 199,053.96

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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.