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Finding the Fourth Proportional to 259,361.61, 389,062.46 and 99,514.05

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Solution

The fourth proportional to 259,361.61, 389,062.46 and 99,514.05 is: 149,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,361.61 : 389,062.46 = 99,514.05 : x
  2. Step 2: Convert to fraction form
    259,361.61/389,062.46 = 99,514.05/x
  3. Step 3: Cross multiply
    259,361.61x = 389,062.46 × 99,514.05
  4. Step 4: Simplify right side
    259,361.61x = 38,717,181,097.56
  5. Step 5: Solve for x
    x = 38,717,181,097.56/259,361.61
  6. Step 6: Final answer
    x = 149,278.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.