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Finding the Fourth Proportional to 113,728.32, 156,894.34 and 65,954

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Solution

The fourth proportional to 113,728.32, 156,894.34 and 65,954 is: 90,987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,728.32 : 156,894.34 = 65,954 : x
  2. Step 2: Convert to fraction form
    113,728.32/156,894.34 = 65,954/x
  3. Step 3: Cross multiply
    113,728.32x = 156,894.34 × 65,954
  4. Step 4: Simplify right side
    113,728.32x = 10,347,809,300.36
  5. Step 5: Solve for x
    x = 10,347,809,300.36/113,728.32
  6. Step 6: Final answer
    x = 90,987.09

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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.