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Finding the Fourth Proportional to 252,508.26, 378,825.82 and 72,594

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Solution

The fourth proportional to 252,508.26, 378,825.82 and 72,594 is: 108,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,508.26 : 378,825.82 = 72,594 : x
  2. Step 2: Convert to fraction form
    252,508.26/378,825.82 = 72,594/x
  3. Step 3: Cross multiply
    252,508.26x = 378,825.82 × 72,594
  4. Step 4: Simplify right side
    252,508.26x = 27,500,481,577.08
  5. Step 5: Solve for x
    x = 27,500,481,577.08/252,508.26
  6. Step 6: Final answer
    x = 108,909.24

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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.