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Finding the Fourth Proportional to 117,008.20, 175,512.30 and 42,212.80

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Solution

The fourth proportional to 117,008.20, 175,512.30 and 42,212.80 is: 63,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,008.20 : 175,512.30 = 42,212.80 : x
  2. Step 2: Convert to fraction form
    117,008.20/175,512.30 = 42,212.80/x
  3. Step 3: Cross multiply
    117,008.20x = 175,512.30 × 42,212.80
  4. Step 4: Simplify right side
    117,008.20x = 7,408,865,617.44
  5. Step 5: Solve for x
    x = 7,408,865,617.44/117,008.20
  6. Step 6: Final answer
    x = 63,319.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.