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Finding the Fourth Proportional to 119,120.49, 164,385.14 and 65,405.04

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Solution

The fourth proportional to 119,120.49, 164,385.14 and 65,405.04 is: 90,258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,120.49 : 164,385.14 = 65,405.04 : x
  2. Step 2: Convert to fraction form
    119,120.49/164,385.14 = 65,405.04/x
  3. Step 3: Cross multiply
    119,120.49x = 164,385.14 × 65,405.04
  4. Step 4: Simplify right side
    119,120.49x = 10,751,616,330.08
  5. Step 5: Solve for x
    x = 10,751,616,330.08/119,120.49
  6. Step 6: Final answer
    x = 90,258.33

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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.