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Finding the Fourth Proportional to 193,394.54, 290,084.52 and 53,149.52

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Solution

The fourth proportional to 193,394.54, 290,084.52 and 53,149.52 is: 79,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,394.54 : 290,084.52 = 53,149.52 : x
  2. Step 2: Convert to fraction form
    193,394.54/290,084.52 = 53,149.52/x
  3. Step 3: Cross multiply
    193,394.54x = 290,084.52 × 53,149.52
  4. Step 4: Simplify right side
    193,394.54x = 15,417,852,997.43
  5. Step 5: Solve for x
    x = 15,417,852,997.43/193,394.54
  6. Step 6: Final answer
    x = 79,722.28

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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.