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Finding the Fourth Proportional to 200,694.96, 301,008.42 and 94,090.86

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Solution

The fourth proportional to 200,694.96, 301,008.42 and 94,090.86 is: 141,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,694.96 : 301,008.42 = 94,090.86 : x
  2. Step 2: Convert to fraction form
    200,694.96/301,008.42 = 94,090.86/x
  3. Step 3: Cross multiply
    200,694.96x = 301,008.42 × 94,090.86
  4. Step 4: Simplify right side
    200,694.96x = 28,322,141,105.04
  5. Step 5: Solve for x
    x = 28,322,141,105.04/200,694.96
  6. Step 6: Final answer
    x = 141,120.34

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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.