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Finding the Fourth Proportional to 263,814.39, 364,063.41 and 142,958.97

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Solution

The fourth proportional to 263,814.39, 364,063.41 and 142,958.97 is: 197,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,814.39 : 364,063.41 = 142,958.97 : x
  2. Step 2: Convert to fraction form
    263,814.39/364,063.41 = 142,958.97/x
  3. Step 3: Cross multiply
    263,814.39x = 364,063.41 × 142,958.97
  4. Step 4: Simplify right side
    263,814.39x = 52,046,130,108.29
  5. Step 5: Solve for x
    x = 52,046,130,108.29/263,814.39
  6. Step 6: Final answer
    x = 197,283.14

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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.