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Finding the Fourth Proportional to 113,920, 157,207.92 and 66,200.20

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Solution

The fourth proportional to 113,920, 157,207.92 and 66,200.20 is: 91,355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,920 : 157,207.92 = 66,200.20 : x
  2. Step 2: Convert to fraction form
    113,920/157,207.92 = 66,200.20/x
  3. Step 3: Cross multiply
    113,920x = 157,207.92 × 66,200.20
  4. Step 4: Simplify right side
    113,920x = 10,407,195,745.58
  5. Step 5: Solve for x
    x = 10,407,195,745.58/113,920
  6. Step 6: Final answer
    x = 91,355.30

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