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Finding the Fourth Proportional to 119,120.75, 164,385.48 and 65,405.28

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Solution

The fourth proportional to 119,120.75, 164,385.48 and 65,405.28 is: 90,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,120.75 : 164,385.48 = 65,405.28 : x
  2. Step 2: Convert to fraction form
    119,120.75/164,385.48 = 65,405.28/x
  3. Step 3: Cross multiply
    119,120.75x = 164,385.48 × 65,405.28
  4. Step 4: Simplify right side
    119,120.75x = 10,751,678,347.33
  5. Step 5: Solve for x
    x = 10,751,678,347.33/119,120.75
  6. Step 6: Final answer
    x = 90,258.65

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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.