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Finding the Fourth Proportional to 193,842.80, 272,002 and 193,842.80

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Solution

The fourth proportional to 193,842.80, 272,002 and 193,842.80 is: 272,002

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,842.80 : 272,002 = 193,842.80 : x
  2. Step 2: Convert to fraction form
    193,842.80/272,002 = 193,842.80/x
  3. Step 3: Cross multiply
    193,842.80x = 272,002 × 193,842.80
  4. Step 4: Simplify right side
    193,842.80x = 52,725,629,285.60
  5. Step 5: Solve for x
    x = 52,725,629,285.60/193,842.80
  6. Step 6: Final answer
    x = 272,002

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.