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Finding the Fourth Proportional to 193,243.92, 289,862.64 and 52,997.28

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Solution

The fourth proportional to 193,243.92, 289,862.64 and 52,997.28 is: 79,495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,243.92 : 289,862.64 = 52,997.28 : x
  2. Step 2: Convert to fraction form
    193,243.92/289,862.64 = 52,997.28/x
  3. Step 3: Cross multiply
    193,243.92x = 289,862.64 × 52,997.28
  4. Step 4: Simplify right side
    193,243.92x = 15,361,931,493.62
  5. Step 5: Solve for x
    x = 15,361,931,493.62/193,243.92
  6. Step 6: Final answer
    x = 79,495.03

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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.