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Finding the Fourth Proportional to 197,322.78, 295,934.92 and 77,404.11

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Solution

The fourth proportional to 197,322.78, 295,934.92 and 77,404.11 is: 116,086.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,322.78 : 295,934.92 = 77,404.11 : x
  2. Step 2: Convert to fraction form
    197,322.78/295,934.92 = 77,404.11/x
  3. Step 3: Cross multiply
    197,322.78x = 295,934.92 × 77,404.11
  4. Step 4: Simplify right side
    197,322.78x = 22,906,577,797.26
  5. Step 5: Solve for x
    x = 22,906,577,797.26/197,322.78
  6. Step 6: Final answer
    x = 116,086.84

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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.