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Finding the Fourth Proportional to 223,101, 334,704.42 and 75,357

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Solution

The fourth proportional to 223,101, 334,704.42 and 75,357 is: 113,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,101 : 334,704.42 = 75,357 : x
  2. Step 2: Convert to fraction form
    223,101/334,704.42 = 75,357/x
  3. Step 3: Cross multiply
    223,101x = 334,704.42 × 75,357
  4. Step 4: Simplify right side
    223,101x = 25,222,320,977.94
  5. Step 5: Solve for x
    x = 25,222,320,977.94/223,101
  6. Step 6: Final answer
    x = 113,053.37

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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.