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Finding the Fourth Proportional to 193,894.75, 290,842.13 and 53,653.38

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Solution

The fourth proportional to 193,894.75, 290,842.13 and 53,653.38 is: 80,480.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,894.75 : 290,842.13 = 53,653.38 : x
  2. Step 2: Convert to fraction form
    193,894.75/290,842.13 = 53,653.38/x
  3. Step 3: Cross multiply
    193,894.75x = 290,842.13 × 53,653.38
  4. Step 4: Simplify right side
    193,894.75x = 15,604,663,320.90
  5. Step 5: Solve for x
    x = 15,604,663,320.90/193,894.75
  6. Step 6: Final answer
    x = 80,480.07

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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.