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Finding the Fourth Proportional to 193,894.52, 290,839.59 and 75,648.87

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Solution

The fourth proportional to 193,894.52, 290,839.59 and 75,648.87 is: 113,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,894.52 : 290,839.59 = 75,648.87 : x
  2. Step 2: Convert to fraction form
    193,894.52/290,839.59 = 75,648.87/x
  3. Step 3: Cross multiply
    193,894.52x = 290,839.59 × 75,648.87
  4. Step 4: Simplify right side
    193,894.52x = 22,001,686,334.76
  5. Step 5: Solve for x
    x = 22,001,686,334.76/193,894.52
  6. Step 6: Final answer
    x = 113,472.45

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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.