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Finding the Fourth Proportional to 193,672.49, 290,525.47 and 53,431.11

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Solution

The fourth proportional to 193,672.49, 290,525.47 and 53,431.11 is: 80,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,672.49 : 290,525.47 = 53,431.11 : x
  2. Step 2: Convert to fraction form
    193,672.49/290,525.47 = 53,431.11/x
  3. Step 3: Cross multiply
    193,672.49x = 290,525.47 × 53,431.11
  4. Step 4: Simplify right side
    193,672.49x = 15,523,098,211.79
  5. Step 5: Solve for x
    x = 15,523,098,211.79/193,672.49
  6. Step 6: Final answer
    x = 80,151.28

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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.