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Finding the Fourth Proportional to 113,794, 157,035.61 and 63,493

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Solution

The fourth proportional to 113,794, 157,035.61 and 63,493 is: 87,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,794 : 157,035.61 = 63,493 : x
  2. Step 2: Convert to fraction form
    113,794/157,035.61 = 63,493/x
  3. Step 3: Cross multiply
    113,794x = 157,035.61 × 63,493
  4. Step 4: Simplify right side
    113,794x = 9,970,661,985.73
  5. Step 5: Solve for x
    x = 9,970,661,985.73/113,794
  6. Step 6: Final answer
    x = 87,620.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.