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Finding the Fourth Proportional to 253,336.82, 349,634.78 and 142,958.32

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Solution

The fourth proportional to 253,336.82, 349,634.78 and 142,958.32 is: 197,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,336.82 : 349,634.78 = 142,958.32 : x
  2. Step 2: Convert to fraction form
    253,336.82/349,634.78 = 142,958.32/x
  3. Step 3: Cross multiply
    253,336.82x = 349,634.78 × 142,958.32
  4. Step 4: Simplify right side
    253,336.82x = 49,983,199,709.58
  5. Step 5: Solve for x
    x = 49,983,199,709.58/253,336.82
  6. Step 6: Final answer
    x = 197,299.39

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1.5x scale

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.