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Finding the Fourth Proportional to 193,857, 290,785.50 and 53,615.63

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Solution

The fourth proportional to 193,857, 290,785.50 and 53,615.63 is: 80,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,857 : 290,785.50 = 53,615.63 : x
  2. Step 2: Convert to fraction form
    193,857/290,785.50 = 53,615.63/x
  3. Step 3: Cross multiply
    193,857x = 290,785.50 × 53,615.63
  4. Step 4: Simplify right side
    193,857x = 15,590,646,323.44
  5. Step 5: Solve for x
    x = 15,590,646,323.44/193,857
  6. Step 6: Final answer
    x = 80,423.44

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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.