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Finding the Fourth Proportional to 253,194.29, 349,451.08 and 145,826.46

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Solution

The fourth proportional to 253,194.29, 349,451.08 and 145,826.46 is: 201,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,194.29 : 349,451.08 = 145,826.46 : x
  2. Step 2: Convert to fraction form
    253,194.29/349,451.08 = 145,826.46/x
  3. Step 3: Cross multiply
    253,194.29x = 349,451.08 × 145,826.46
  4. Step 4: Simplify right side
    253,194.29x = 50,959,213,575.01
  5. Step 5: Solve for x
    x = 50,959,213,575.01/253,194.29
  6. Step 6: Final answer
    x = 201,265.26

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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.