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Finding the Fourth Proportional to 193,196.64, 289,796.04 and 87,942

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Solution

The fourth proportional to 193,196.64, 289,796.04 and 87,942 is: 131,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,196.64 : 289,796.04 = 87,942 : x
  2. Step 2: Convert to fraction form
    193,196.64/289,796.04 = 87,942/x
  3. Step 3: Cross multiply
    193,196.64x = 289,796.04 × 87,942
  4. Step 4: Simplify right side
    193,196.64x = 25,485,243,349.68
  5. Step 5: Solve for x
    x = 25,485,243,349.68/193,196.64
  6. Step 6: Final answer
    x = 131,913.49

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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.