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Finding the Fourth Proportional to 113,794, 170,645.36 and 47,188.88

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Solution

The fourth proportional to 113,794, 170,645.36 and 47,188.88 is: 70,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,794 : 170,645.36 = 47,188.88 : x
  2. Step 2: Convert to fraction form
    113,794/170,645.36 = 47,188.88/x
  3. Step 3: Cross multiply
    113,794x = 170,645.36 × 47,188.88
  4. Step 4: Simplify right side
    113,794x = 8,052,563,415.60
  5. Step 5: Solve for x
    x = 8,052,563,415.60/113,794
  6. Step 6: Final answer
    x = 70,764.39

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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.